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23013131031 = 32112232514153
BaseRepresentation
bin10101011011101100…
…001000001100010111
32012101211021011222100
4111123230020030113
5334112330143111
614323323133143
71443200246322
oct253354101427
965354234870
1023013131031
11983a348a60
1245630741b3
132229a08bc7
1411845497b9
158ea555756
hex55bb08317

23013131031 has 48 divisors (see below), whose sum is σ = 36579658752. Its totient is φ = 13826160000.

The previous prime is 23013131021. The next prime is 23013131033. The reversal of 23013131031 is 13013131032.

It is a happy number.

It is not a de Polignac number, because 23013131031 - 215 = 23013098263 is a prime.

It is a super-2 number, since 2×230131310312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23013130995 and 23013131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23013131033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5539251 + ... + 5543403.

It is an arithmetic number, because the mean of its divisors is an integer number (762076224).

Almost surely, 223013131031 is an apocalyptic number.

23013131031 is a deficient number, since it is larger than the sum of its proper divisors (13566527721).

23013131031 is a wasteful number, since it uses less digits than its factorization.

23013131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 23013131031 its reverse (13013131032), we get a palindrome (36026262063).

Subtracting from 23013131031 its reverse (13013131032), we obtain a palindrome (9999999999).

It can be divided in two parts, 230131 and 31031, that added together give a palindrome (261162).

The spelling of 23013131031 in words is "twenty-three billion, thirteen million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 11 33 99 223 251 669 753 2007 2259 2453 2761 4153 7359 8283 12459 22077 24849 37377 45683 55973 137049 167919 411147 503757 615703 926119 1042403 1847109 2778357 3127209 5541327 8335071 9381627 10187309 11466433 30561927 34399299 91685781 103197897 232455869 697367607 2092102821 2557014559 7671043677 23013131031