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131311253424 = 24313297256369
BaseRepresentation
bin111101001001011000…
…0101011011110110000
3110112221022021211011110
41322102300223132300
54122411140102144
6140153515513320
712326005144431
oct1722260533660
9415838254143
10131311253424
115076386324a
1221547a58840
13c4c874ca30
1464d96b9488
1536380280b9
hex1e92c2b7b0

131311253424 has 80 divisors (see below), whose sum is σ = 377911749600. Its totient is φ = 39010234368.

The previous prime is 131311253401. The next prime is 131311253429. The reversal of 131311253424 is 424352113131.

It is a junction number, because it is equal to n+sod(n) for n = 131311253391 and 131311253400.

It is not an unprimeable number, because it can be changed into a prime (131311253429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3610089 + ... + 3646280.

It is an arithmetic number, because the mean of its divisors is an integer number (4723896870).

Almost surely, 2131311253424 is an apocalyptic number.

It is an amenable number.

131311253424 is an abundant number, since it is smaller than the sum of its proper divisors (246600496176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131311253424 is a wasteful number, since it uses less digits than its factorization.

131311253424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256422 (or 7256416 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

Adding to 131311253424 its reverse (424352113131), we get a palindrome (555663366555).

The spelling of 131311253424 in words is "one hundred thirty-one billion, three hundred eleven million, two hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 9048 18096 7256369 14512738 21769107 29025476 43538214 58050952 87076428 94332797 116101904 174152856 188665594 210434701 282998391 348305712 377331188 420869402 565996782 631304103 754662376 841738804 1131993564 1262608206 1509324752 1683477608 2263987128 2525216412 2735651113 3366955216 4527974256 5050432824 5471302226 8206953339 10100865648 10942604452 16413906678 21885208904 32827813356 43770417808 65655626712 131311253424