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232033113202113 = 32317433918743839
BaseRepresentation
bin110100110000100001101011…
…010010011101110111000001
31010102120011000121111121211200
4310300201223102131313001
5220403112303434431423
62141254312440331413
766605560565052666
oct6460415322356701
91112504017447750
10232033113202113
1167a29766348023
12220356a4173b69
139c618232c57c2
14414266953ba6d
151bc5aa8e24d43
hexd3086b49ddc1

232033113202113 has 24 divisors (see below), whose sum is σ = 336293729990400. Its totient is φ = 154165218486624.

The previous prime is 232033113202069. The next prime is 232033113202127. The reversal of 232033113202113 is 311202311330232.

232033113202113 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 3 + 311 + 320 + 21 + 1 + 3 = 666.

It is not a de Polignac number, because 232033113202113 - 226 = 232033046093249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232033113202193) 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 23 ways as a sum of consecutive naturals, for example, 3007248 + ... + 21751086.

It is an arithmetic number, because the mean of its divisors is an integer number (14012238749600).

Almost surely, 2232033113202113 is an apocalyptic number.

It is an amenable number.

232033113202113 is a deficient number, since it is larger than the sum of its proper divisors (104260616788287).

232033113202113 is a wasteful number, since it uses less digits than its factorization.

232033113202113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18748501 (or 18748498 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 232033113202113 its reverse (311202311330232), we get a palindrome (543235424532345).

The spelling of 232033113202113 in words is "two hundred thirty-two trillion, thirty-three billion, one hundred thirteen million, two hundred two thousand, one hundred thirteen".

Divisors: 1 3 9 317 951 2853 4339 13017 39051 1375463 4126389 12379167 18743839 56231517 168694551 5941796963 17825390889 53476172667 81329517421 243988552263 731965656789 25781457022457 77344371067371 232033113202113