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23152133125132 = 22112944340957799
BaseRepresentation
bin1010100001110100001101…
…01010111011010000001100
310000222022200222001021112221
411100322012222323100030
511013311032040001012
6121123535414305124
74606454304346654
oct520720652732014
9100868628037487
1023152133125132
1174168456353a0
12271b0566581a4
13cbc3102ab4bb
145a07d7d35364
152a23905b6507
hex150e86abb40c

23152133125132 has 48 divisors (see below), whose sum is σ = 45826863264000. Its totient is φ = 10137874160960.

The previous prime is 23152133125067. The next prime is 23152133125133.

23152133125132 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×231521331251323 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (23152133125133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19913632 + ... + 21044167.

It is an arithmetic number, because the mean of its divisors is an integer number (954726318000).

Almost surely, 223152133125132 is an apocalyptic number.

23152133125132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23152133125132 is a deficient number, since it is larger than the sum of its proper divisors (22674730138868).

23152133125132 is a wasteful number, since it uses less digits than its factorization.

23152133125132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40958286 (or 40958284 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The spelling of 23152133125132 in words is "twenty-three trillion, one hundred fifty-two billion, one hundred thirty-three million, one hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 29 44 58 116 319 443 638 886 1276 1772 4873 9746 12847 19492 25694 51388 141317 282634 565268 40957799 81915598 163831196 450535789 901071578 1187776171 1802143156 2375552342 4751104684 13065537881 18144304957 26131075762 36288609914 52262151524 72577219828 199587354527 399174709054 526184843753 798349418108 1052369687506 2104739375012 5788033281283 11576066562566 23152133125132