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23152001105331 = 3271229299017153
BaseRepresentation
bin1010100001110011111101…
…10011010011110110110011
310000222022100202121222102200
411100321332303103312303
511013310244240332311
6121123514340514243
74606451112244410
oct520717663236663
9100868322558380
1023152001105331
117416788063a1a
12271b01a3ab983
13cbc2bbb36587
145a07c45ab107
152a2383bd9556
hex150e7ecd3db3

23152001105331 has 24 divisors (see below), whose sum is σ = 38250274339680. Its totient is φ = 13218950255616.

The previous prime is 23152001105327. The next prime is 23152001105333. The reversal of 23152001105331 is 13350110025132.

23152001105331 is a `hidden beast` number, since 2 + 3 + 1 + 520 + 0 + 1 + 105 + 3 + 31 = 666.

It is not a de Polignac number, because 23152001105331 - 22 = 23152001105327 is a prime.

It is a super-2 number, since 2×231520011053312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23152001105295 and 23152001105304.

It is not an unprimeable number, because it can be changed into a prime (23152001105333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149431150 + ... + 149586003.

It is an arithmetic number, because the mean of its divisors is an integer number (1593761430820).

Almost surely, 223152001105331 is an apocalyptic number.

23152001105331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23152001105331 is a deficient number, since it is larger than the sum of its proper divisors (15098273234349).

23152001105331 is a wasteful number, since it uses less digits than its factorization.

23152001105331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299018395 (or 299018392 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 23152001105331 in words is "twenty-three trillion, one hundred fifty-two billion, one million, one hundred five thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 1229 3687 8603 11061 25809 77427 299017153 897051459 2093120071 2691154377 6279360213 18838080639 367492081037 1102476243111 2572444567259 3307428729333 7717333701777 23152001105331