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23130131023233 = 3313457503286673
BaseRepresentation
bin1010100001001011001110…
…01111100100010110000001
310000220012220121012200211000
411100211213033210112001
511012431002020220413
6121105500245042213
74605045131515203
oct520454717442601
9100805817180730
1023130131023233
117408484a63603
1227169360b6369
13cba214ba18b0
1459d70bba8773
152a1a03bc0073
hex1509673e4581

23130131023233 has 64 divisors (see below), whose sum is σ = 37057178350080. Its totient is φ = 14174494746624.

The previous prime is 23130131023187. The next prime is 23130131023253. The reversal of 23130131023233 is 33232013103132.

23130131023233 is a `hidden beast` number, since 2 + 3 + 1 + 301 + 31 + 0 + 2 + 323 + 3 = 666.

It is not a de Polignac number, because 23130131023233 - 237 = 22992692069761 is a prime.

It is a super-2 number, since 2×231301310232332 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23130131023197 and 23130131023206.

It is not an unprimeable number, because it can be changed into a prime (23130131023253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80541385 + ... + 80828057.

It is an arithmetic number, because the mean of its divisors is an integer number (579018411720).

Almost surely, 223130131023233 is an apocalyptic number.

It is an amenable number.

23130131023233 is a deficient number, since it is larger than the sum of its proper divisors (13927047326847).

23130131023233 is a wasteful number, since it uses less digits than its factorization.

23130131023233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287655 (or 287649 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 23130131023233 its reverse (33232013103132), we get a palindrome (56362144126365).

The spelling of 23130131023233 in words is "twenty-three trillion, one hundred thirty billion, one hundred thirty-one million, twenty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 457 503 1371 1509 4113 4527 5941 6539 12339 13581 17823 19617 53469 58851 160407 176553 229871 286673 689613 860019 2068839 2580057 2988323 3726749 6206517 7740171 8964969 11180247 26894907 33540741 80684721 100622223 131009561 144196519 393028683 432589557 1179086049 1297768671 1703124293 1874554747 3537258147 3893306013 5109372879 5623664241 15328118637 16870992723 45984355911 50612978169 65897809183 197693427549 593080282647 856671519379 1779240847941 2570014558137 7710043674411 23130131023233