"""Billboard"" charts' World Digital Songs and ""Billboard Japan"" Hot 100, respectively. The song placed at number 29 at Billboard Japan Hot 100 year-end chart, and placed at number 14 in Top Streaming Songs. What Is Love? (Twice song) ""What Is Love?"" (stylized as ""What is Love?"") is a song recorded by South Korean girl group Twice, the lead single of their fifth extended play of the same name. The song was released on April 9, 2018 by JYP Entertainment and distributed by Iriver. ""What Is Love?"" was written and composed by Park Jin-young, who previously produced ""Signal"", and it was"
"1001 (number) 1001 is the natural number following 1000 and followed by 1002. One thousand and one is a sphenic number, a pentagonal number, a pentatope number and the first four-digit palindromic number. Scheherazade numbers always have 1001 as a factor. Two properties of 1001 are the basis of a divisibility test for 7, 11 and 13. The method is along the same lines as the divisibility rule for 11 using the property 10 ≡ −1 (mod 11). The two properties of 1001 are The method simultaneously tests for divisibility by any of the factors of 1001. First, the digits"
"101 (number) 101 (one hundred [and] one) is the natural number following 100 and preceding 102. It is variously pronounced ""one hundred and one"" / ""a hundred and one"", ""one hundred one"" / ""a hundred one"", and ""one oh one"". As an ordinal number, 101st (one hundred [and] first), rather than 101th, is the correct form. 101 is: Given 101, the Mertens function returns 0. It is the second prime having this property. For a 3-digit number in base 10, this number has a relatively simple divisibility test. The candidate number is split into groups of four, starting with the"
"the first nine prime numbers, as well as the sum of some pairs of prime numbers e.g., 3 + 97, 11 + 89, 17 + 83, 29 + 71, 41 + 59, and 47 + 53. 100 is the sum of the cubes of the first four integers (100 = 1 + 2 + 3 + 4). This is related by Nicomachus's theorem to the fact that 100 also equals the square of the sum of the first four integers: . 2 + 6 = 100, thus 100 is a Leyland number. 100 is an 18-gonal number. It is divisible"
"rightmost four, and added up to produce a 4-digit number. If this 4-digit number is of the form 1000""a"" + 100""b"" + 10""a"" + ""b"" (where ""a"" and ""b"" are integers from 0 to 9), such as 3232 or 9797, or of the form 100""b"" + ""b"", such as 707 and 808, then the number is divisible by 101. On the seven-segment display of a calculator, 101 is both a strobogrammatic prime and a dihedral prime. According to Books in Print, more books are now published with a title that begins with '101' than '100'. They usually describe or discuss"
"|103 ! scope=""row"" |104 ! scope=""row"" |105 ! scope=""row"" |106 ! scope=""row"" |107 ! scope=""row"" |108 ! scope=""row"" |109 ! scope=""row"" |110 ! scope=""row"" |111 ! scope=""row"" |112 ! scope=""row"" |113 ! scope=""row"" |114 ! scope=""row"" |115 ! scope=""row"" |116 ! scope=""row"" |117 ! scope=""row"" |118 ! scope=""row"" |119 ! scope=""row"" |120 ! scope=""row"" |121 ! scope=""row"" |122 ! scope=""row"" |123 ! scope=""row"" |124 ! scope=""row"" |125 ! scope=""row"" |126 ! scope=""row"" |127 ! scope=""row"" |128 ! scope=""row"" |129 ! scope=""row"" |130 ! scope=""row"" |131 ! scope=""row"" |132 ! scope=""row"" |132 ! scope=""row"" |134 ! scope=""row"" |135 ! scope=""row"" |136"
"become a ""1"", this ""1"" is changed to a ""0""). A cycle of length 3, for example, occurs if an iterate has a 3-bit repeating sequence in its binary expansion (which is not also a one-bit repeating sequence): 001, 010, 100, 110, 101, or 011. The iterate 001001001… maps into 010010010..., which maps into 100100100..., which in turn maps into the original 001001001...; so this is a 3-cycle of the bit shift map. And the other three binary-expansion repeating sequences give the 3-cycle 110110110… → 101101101… → 011011011… → 110110110.… Either of these 3-cycles can be converted to fraction form:"
"111 (number) 111 (One hundred [and] eleven) is the natural number following 110 and preceding 112. 111 is a perfect totient number. 111 is R or the second repunit, a number like 11, 111, or 1111 that consists of repeated units, or 1's. It equals 3 × 37, therefore all triplets (numbers like 222 or 777) in base ten are of the form 3""n"" × 37. As a repunit, it also follows that 111 is a palindromic number. All triplets in all bases are multiples of 111 in that base, therefore the number represented by 111 in a particular base"
"similarly numbered course at other institutions. The term was first introduced by the University of Buffalo in 1929. Based on this usage, the term ""101"" has been extended to mean an introductory level of learning or a collection of introductory materials to a topic. 101 (number) 101 (one hundred [and] one) is the natural number following 100 and preceding 102. It is variously pronounced ""one hundred and one"" / ""a hundred and one"", ""one hundred one"" / ""a hundred one"", and ""one oh one"". As an ordinal number, 101st (one hundred [and] first), rather than 101th, is the correct form."
"!1 !4 !2 !3 !1 !7 !2 !4 !1 !5 !2 !4 !2 !2 !5 !3 !4 !3 !3 !6 !8 !9 !49 !55 !22 !15 !5 !10 !24 !26 !6 !2 !36 !10 !50 !4 !6 !31 !47 !15 !16 !6 !4 !16 !32 !20 !28 !13 !14 !14 !28 !12 !21 !38 !5 !37 !50 !20 !4 !31 !27 !48 !15 !39 !36 !38 !81 !37 !61 !70 !29 !26 !19 !22 !20 !46 !8 !83 !2 !38 !61 !9 !8 !10 !29 !2 !43 !41 !8 !6 !7 !5 !28 !48 !33 !5 !41 !1 !3 !101"
"A − C ≤ 9, both the first and third digits are guaranteed to be single digits.) Its reversal is 100 × ['] + 10 × ' + 1 × [']. The sum is thus 101 × ['] + 20 × ' + 101 × ['] = 101 × [' + '] + 20 × = 101 × [−1 + 10] + 180 = 1089. Multiplying the number 1089 by the integers from 1 to 9 produces a pattern: multipliers adding up to 10 give products that are the digit reversals of each other: Also note the patterns within each"
"by the numbers 3, 6, 17, 34 and 51. 102 is also: 102 (number) 102 (one hundred [and] two) is the natural number following 101 and preceding 103. 102 is an abundant number and semiperfect number. It is a sphenic number. It is the sum of four consecutive prime numbers (19 + 23 + 29 + 31). The sum of Euler's totient function φ(""x"") over the first eighteen integers is 102. 102 is the third base 10 polydivisible number, since 1 is divisible by 1, 10 is divisible by 2 and 102 is divisible by 3. This also shows that"
"a duel. The third round consists of two letter problems and two numbers problems played alternatively and followed by the final sprint. If the players are tied at the end of the program a buzzer question is used to break the tie. The goal of this round is to arrive at a chosen number (from 101 to 999) using the four basic arithmetic operations (+, -, ×, ÷) applied to six numbers chosen randomly from the following alternatives: 1 to 10; 25; 50; 75; 100 (each number is drawn from the entire set, so the same number may appear more"
"again and move the counter into this spot and end up with At this point, the counter on the bottom edge is so far to the right that it cannot go diagonally to the top of any column, which signals that we are done. The result is ""read"" off the columns—each column with counters is treated as a 1 and empty columns are 0. So the result is 100101 (= 37) and the remainder is the binary value of any counters still left along the bottom edge. There is one counter on the third column from the right, so we"
"110 (number) 110 (""one hundred [and] ten"") is the natural number following 109 and preceding 111. 110 is a sphenic number and a pronic number. Following the prime quadruplet (101, 103, 107, 109), at 110, the Mertens function reaches a low of −5. 110 is the sum of three consecutive squares, formula_1. 110 is the side of the smallest square that can be tiled with distinct integer-sided squares. RSA-110 is one of the RSA numbers, large semiprimes that are part of the RSA Factoring Challenge. The Rule 110 cellular automaton, like Conway's Game of Life, exhibits what Stephen Wolfram calls"
"into the first three digits 110 of the dividend one time, so a ""1"" is written on the top line. This result is multiplied by the divisor, and subtracted from the first three digits of the dividend; the next digit (a ""1"") is included to obtain a new three-digit sequence: The procedure is then repeated with the new sequence, continuing until the digits in the dividend have been exhausted: Thus, the quotient of 11011 divided by 101 is 101, as shown on the top line, while the remainder, shown on the bottom line, is 10. In decimal, 27 divided by"
"single sequence is computed, and the gcd is computed inside the loop that detects the cycle. The following code sample finds the factor 101 of 10403 with a starting value of x = 2. int gcd(int a, int b) int main (int argc, char *argv[]) The above code will show the algorithm progress as well as intermediate values. The final output line will be ""factor is 101"". def gcd(a, b): number = 10403 x_fixed = 2 cycle_size = 2 x = 2 factor = 1 while factor == 1: print(factor) In the following table the third and fourth columns contain"
"105 (number) 105 (one hundred [and] five) is the natural number following 104 and preceding 106. 105 is a triangular number, a dodecagonal number and the first Zeisel number. It is a sphenic number, and is the product of three consecutive prime numbers. 105 is the double factorial of 7. It is also the sum of the first five square pyramidal numbers. 105 comes in the middle of the prime quadruplet (101, 103, 107, 109). The only other such odd numbers less than a thousand are 9, 15, 195 and 825. 105 is also a pseudoprime to the prime bases"
"100 (number) 100 or one hundred (Roman numeral: Ⅽ) is the natural number following 99 and preceding 101. In medieval contexts, it may be described as the short hundred or five score in order to differentiate the English and Germanic use of ""hundred"" to describe the long hundred of six score or 120. 100 is the square of 10 (in scientific notation it is written as 10). The standard SI prefix for a hundred is ""hecto-"". 100 is the basis of percentages (""per cent"" meaning ""per hundred"" in Latin), with 100% being a full amount. 100 is the sum of"
"14 to produce 1,000 outcomes. 1001 was a hidden track on the Australian release of ""Two Shoes"", the second album by The Cat Empire Buckminster Fuller called 1001 a Scheherazade number in his book ""Synergetics"", since Scheherazade was the name of the story-telling wife in ""The Book of One Thousand and One Nights"". 1001 (number) 1001 is the natural number following 1000 and followed by 1002. One thousand and one is a sphenic number, a pentagonal number, a pentatope number and the first four-digit palindromic number. Scheherazade numbers always have 1001 as a factor. Two properties of 1001 are the"
"211 (number) 211 (two hundred [and] eleven) is the natural number between 210 and 212. It is also a prime number. 211 is an odd number. 211 is a primorial prime, sum of three consecutive primes (67 + 71 + 73), Chen prime, centered decagonal prime, and self prime. 211 is a repdigit in base 14 (111). Multiplying its digits, it is still a prime (2), and adding its digits, it is square (4). Rearranging its digits, 211 becomes 121, which also is a square. Adding any two of its digits will be prime (2 or 3). 2-1-1 is special"
"of peculiar mannerisms - hops, shuffles, jiggles and so on since an umpire cannot sit down and raise his feet - that he would indulge in if the score was ever a ""Nelson"" multiple. Particularly if the number of wickets also matched - 111/1, 222/2 etc. 111 is also: 111 (number) 111 (One hundred [and] eleven) is the natural number following 110 and preceding 112. 111 is a perfect totient number. 111 is R or the second repunit, a number like 11, 111, or 1111 that consists of repeated units, or 1's. It equals 3 × 37, therefore all triplets"
"becoming a ""dada"", or junior teacher of the faith. In many cases, including the title ""Thousand and One Nights"", 1001 is meant to indicate a ""big number"", and need not be taken literally. A book published in 2007 titled ""40 Days & 1001 Nights"" describes a journey through the Islamic world. Among them are recent books aiming to introduce significant works in various fields: There are also many film titles starting with 1001. For example: The NBA Draft Lottery uses a lottery with 1,001 combinations by selecting four balls out of 14, then disregards the combination 11, 12, 13 and"
"121 (number) 121 (one hundred [and] twenty-one) is the natural number following 120 and preceding 122. One hundred [and] twenty-one is a square and is the sum of three consecutive primes (37 + 41 + 43). There are no squares besides 121 known to be of the form formula_1, where ""p"" is prime (3, in this case). Other such squares must have at least 35 digits. There are only two other squares known to be of the form n! + 1, supporting Brocard's conjecture. Another example of 121 being of the few examples supporting a conjecture is that Fermat conjectured"
"100,000 100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 10. In India, Pakistan and South Asia, one hundred thousand is called a lakh, and is written as 1,00,000. The Thai, Lao, Khmer and Vietnamese languages also have separate words for this number: , , [saen] and ức respectively. No other major language has a special word for this number, preferring to refer to it as a multiple of smaller numbers. In Cyrillic numerals, it is known as the legion (""легион""): or . In astronomy, 100,000 metres, 100 kilometres,"
"these errors. Another code in use at the time repeated every data bit multiple times in order to ensure that it was sent correctly. For instance, if the data bit to be sent is a 1, an ""repetition code"" will send 111. If the three bits received are not identical, an error occurred during transmission. If the channel is clean enough, most of the time only one bit will change in each triple. Therefore, 001, 010, and 100 each correspond to a 0 bit, while 110, 101, and 011 correspond to a 1 bit, with the greater quantity of digits"
"311 (number) 311 (three hundred [and] eleven) is the natural number following 310 and preceding 312. 311 is the 64th prime; a twin prime with 313; an irregular prime; an Eisenstein prime with no imaginary part and real part of the form formula_1; a Gaussian prime with no imaginary part and real part of the form formula_2; and a permutable prime with 113 and 131. It can be expressed as a sum of consecutive primes in four different ways: as a sum of three consecutive primes (101 + 103 + 107), as a sum of five consecutive primes (53 +"
"yielded identical intermediate sums: 1 + 100 = 101, 2 + 99 = 101, 3 + 98 = 101, and so on, for a total sum of 50 × 101 = 5050. However, the details of the story are at best uncertain (see for discussion of the original Wolfgang Sartorius von Waltershausen source and the changes in other versions); some authors, such as Joseph Rotman in his book ""A first course in Abstract Algebra"", question whether it ever happened. According to Isaac Asimov, Gauss was once interrupted in the middle of a problem and told that his wife was dying."
"to delay her execution. Since ""n"" must be at least 13, the primorial must be at least 1·2·3·5·7·11·13, and 7×11×13 = 1001. Fuller also refers to powers of 1001 as Scheherazade numbers. The smallest primorial containing Scheherazade number is 13# = 30,030. Fuller pointed out that some of these numbers are palindromic by groups of digits. For instance 17# = 510,510 shows a symmetry of groups of three digits. Fuller called such numbers ""Scheherazade Sublimely Rememberable Comprehensive Dividends"", or SSRCD numbers. Fuller notes that 1001 raised to a power not only produces ""sublimely rememberable"" numbers that are palindromic in three-digit"
"10 values are valid (0000 through 1001). So adding 6 to the invalid entries results in the following: Thus the result of the subtraction is 1001 1001 0010 0101 (−925). To confirm the result, note that the first digit is 9, which means negative. This seems to be correct, since 357 − 432 should result in a negative number. The remaining nibbles are BCD, so 1001 0010 0101 is 925. The ten's complement of 925 is 1000 − 925 = 75, so the calculated answer is −75. If there are a different number of nibbles being added together (such as"
"99, respectively, and we do not get a 3-digit number for the next step. 99 × (A − C) can also be written as 99 × [(A − C) − 1] + 99 = 100 × [(A − C) − 1] − 1 × [(A − C) − 1] + 90 + 9 = 100 × [(A − C) − 1] + 90 + 9 − (A − C) + 1 = 100 × ['] + 10 × ' + 1 × [']. (The first digit is ', the second is ' and the third is '. As 2 ≤"
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"exist in a plane with four of them touching at every vertex. 104 is also: 104 (number) 104 (one hundred [and] four) is the natural number following 103 and preceding 105. 104 is a primitive semiperfect number and a composite number, with its divisors being 1, 2, 4, 8, 13, 26, 52 and 104. As it has 8 divisors total, and 8 is one of those divisors, 104 is a refactorable number. The distinct prime factors of 104 add up to 15, and so do the ones of 105, hence the two numbers form a Ruth-Aaron pair under the first"