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232031102112 = 25323532282333
BaseRepresentation
bin1101100000011000100…
…0011010010010100000
3211011220122110021011200
43120012020122102200
512300144430231422
6254332115441200
722522642553235
oct3300610322240
9734818407150
10232031102112
118a449565317
1238b768b6200
1318b5a42b134
14b33219d78c
1560805562ac
hex360621a4a0

232031102112 has 72 divisors (see below), whose sum is σ = 661707967284. Its totient is φ = 77124562944.

The previous prime is 232031102089. The next prime is 232031102129. The reversal of 232031102112 is 211201130232.

232031102112 is a `hidden beast` number, since 2 + 320 + 311 + 0 + 21 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 223619277456 + 8411824656 = 472884^2 + 91716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1039503 + ... + 1242830.

Almost surely, 2232031102112 is an apocalyptic number.

It is an amenable number.

232031102112 is an abundant number, since it is smaller than the sum of its proper divisors (429676865172).

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

232031102112 is a wasteful number, since it uses less digits than its factorization.

232031102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282702 (or 2282691 counting only the distinct ones).

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

Adding to 232031102112 its reverse (211201130232), we get a palindrome (443232232344).

The spelling of 232031102112 in words is "two hundred thirty-two billion, thirty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 353 706 1059 1412 2118 2824 3177 4236 5648 6354 8472 11296 12708 16944 25416 33888 50832 101664 2282333 4564666 6846999 9129332 13693998 18258664 20540997 27387996 36517328 41081994 54775992 73034656 82163988 109551984 164327976 219103968 328655952 657311904 805663549 1611327098 2416990647 3222654196 4833981294 6445308392 7250971941 9667962588 12890616784 14501943882 19335925176 25781233568 29003887764 38671850352 58007775528 77343700704 116015551056 232031102112