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21313212102 = 23371310142943
BaseRepresentation
bin10011110110010111…
…011100111011000110
32001000100120100121000
4103312113130323012
5322122140241402
613442520034130
71353106212420
oct236627347306
961010510530
1021313212102
119047830786
124169902946
13201878a510
141062885810
1584b1bac1c
hex4f65dcec6

21313212102 has 128 divisors (see below), whose sum is σ = 58871070720. Its totient is φ = 5565283200.

The previous prime is 21313212061. The next prime is 21313212169. The reversal of 21313212102 is 20121231312.

21313212102 is a `hidden beast` number, since 2 + 131 + 321 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474843 + ... + 517785.

It is an arithmetic number, because the mean of its divisors is an integer number (459930240).

Almost surely, 221313212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21313212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29435535360).

21313212102 is an abundant number, since it is smaller than the sum of its proper divisors (37557858618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21313212102 is a wasteful number, since it uses less digits than its factorization.

21313212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43075 (or 43069 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21313212102 its reverse (20121231312), we get a palindrome (41434443414).

The spelling of 21313212102 in words is "twenty-one billion, three hundred thirteen million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 101 117 126 182 189 202 234 273 303 351 378 546 606 702 707 819 909 1313 1414 1638 1818 2121 2457 2626 2727 3939 4242 4914 5454 6363 7878 9191 11817 12726 18382 19089 23634 27573 35451 38178 42943 55146 70902 82719 85886 128829 165438 248157 257658 300601 386487 496314 558259 601202 772974 901803 1116518 1159461 1674777 1803606 2318922 2705409 3349554 3907813 4337243 5024331 5410818 7815626 8116227 8674486 10048662 11723439 13011729 15072993 16232454 23446878 26023458 30145986 30360701 35170317 39035187 56384159 60721402 70340634 78070374 91082103 105510951 112768318 117105561 169152477 182164206 211021902 234211122 273246309 338304954 394689113 507457431 546492618 789378226 819738927 1014914862 1184067339 1522372293 1639477854 2368134678 3044744586 3552202017 7104404034 10656606051 21313212102