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31311312212232 = 23321333452256637
BaseRepresentation
bin1110001111010001110111…
…01001000101000100001000
311002212022222011222010121200
413013220323221011010020
513101001031411242412
6150332115050504200
76411111335315313
oct707507351050410
9132768864863550
1031311312212232
119a82064506778
123618413135060
13146184b0465a0
147a369307797a
1539472bdb09dc
hex1c7a3ba45108

31311312212232 has 48 divisors (see below), whose sum is σ = 91324660621740. Its totient is φ = 9634249911168.

The previous prime is 31311312212177. The next prime is 31311312212251. The reversal of 31311312212232 is 23221221311313.

31311312212232 is a `hidden beast` number, since 3 + 1 + 311 + 3 + 122 + 1 + 223 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31269054831876 + 42257380356 = 5591874^2 + 205566^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31311312212196 and 31311312212205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16726127383 + ... + 16726129254.

Almost surely, 231311312212232 is an apocalyptic number.

It is an amenable number.

31311312212232 is an abundant number, since it is smaller than the sum of its proper divisors (60013348409508).

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

31311312212232 is a wasteful number, since it uses less digits than its factorization.

31311312212232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33452256662 (or 33452256655 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 31311312212232 its reverse (23221221311313), we get a palindrome (54532533523545).

The spelling of 31311312212232 in words is "thirty-one trillion, three hundred eleven billion, three hundred twelve million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 33452256637 66904513274 100356769911 133809026548 200713539822 267618053096 301070309733 401427079644 434879336281 602140619466 802854159288 869758672562 1204281238932 1304638008843 1739517345124 2408562477864 2609276017686 3479034690248 3913914026529 5218552035372 7827828053058 10437104070744 15655656106116 31311312212232