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31312123011252 = 22348910310542419
BaseRepresentation
bin1110001111010011010111…
…11110000010000010110100
311002212102001200121222210000
413013221223332002002310
513101004211442330002
6150332331333031300
76411140412066666
oct707515376020264
9132772050558700
1031312123011252
119a82440153006
1236185ba785530
13146194a00a915
147a372ca14536
1539477816c61c
hex1c7a6bf820b4

31312123011252 has 120 divisors (see below), whose sum is σ = 83579462366400. Its totient is φ = 10219904348544.

The previous prime is 31312123011251. The next prime is 31312123011259. The reversal of 31312123011252 is 25211032121313.

31312123011252 is a `hidden beast` number, since 3 + 1 + 312 + 1 + 230 + 112 + 5 + 2 = 666.

It is a super-2 number, since 2×313121230112522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312123011251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2301102 + ... + 8241317.

It is an arithmetic number, because the mean of its divisors is an integer number (696495519720).

Almost surely, 231312123011252 is an apocalyptic number.

It is an amenable number.

31312123011252 is an abundant number, since it is smaller than the sum of its proper divisors (52267339355148).

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

31312123011252 is a wasteful number, since it uses less digits than its factorization.

31312123011252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10542627 (or 10542616 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 31312123011252 its reverse (25211032121313), we get a palindrome (56523155132565).

The spelling of 31312123011252 in words is "thirty-one trillion, three hundred twelve billion, one hundred twenty-three million, eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 103 108 162 178 206 267 309 324 356 412 534 618 801 927 1068 1236 1602 1854 2403 2781 3204 3708 4806 5562 7209 8343 9167 9612 11124 14418 16686 18334 27501 28836 33372 36668 55002 82503 110004 165006 247509 330012 495018 742527 990036 1485054 2970108 10542419 21084838 31627257 42169676 63254514 94881771 126509028 189763542 284645313 379527084 569290626 853935939 938275291 1085869157 1138581252 1707871878 1876550582 2171738314 2814825873 3257607471 3415743756 3753101164 4343476628 5629651746 6515214942 8444477619 9772822413 11259303492 13030429884 16888955238 19545644826 25333432857 29318467239 33777910476 39091289652 50666865714 58636934478 76000298571 87955401717 96642354973 101333731428 117273868956 152000597142 175910803434 193284709946 289927064919 304001194284 351821606868 386569419892 579854129838 869781194757 1159708259676 1739562389514 2609343584271 3479124779028 5218687168542 7828030752813 10437374337084 15656061505626 31312123011252