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131314310304 = 2531499180251
BaseRepresentation
bin111101001001011110…
…0010101110010100000
3110112221112001010102020
41322102330111302200
54122412430412204
6140154105221440
712326043135552
oct1722274256240
9415845033366
10131314310304
11507655609a1
1221548a91880
13c4c9280238
1464d9c734d2
15363842dbd9
hex1e92f15ca0

131314310304 has 48 divisors (see below), whose sum is σ = 347013525600. Its totient is φ = 43477664000.

The previous prime is 131314310273. The next prime is 131314310327. The reversal of 131314310304 is 403013413131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4575822 + ... + 4604429.

It is an arithmetic number, because the mean of its divisors is an integer number (7229448450).

Almost surely, 2131314310304 is an apocalyptic number.

It is an amenable number.

131314310304 is an abundant number, since it is smaller than the sum of its proper divisors (215699215296).

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

131314310304 is a wasteful number, since it uses less digits than its factorization.

131314310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9180413 (or 9180405 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131314310304 its reverse (403013413131), we get a palindrome (534327723435).

The spelling of 131314310304 in words is "one hundred thirty-one billion, three hundred fourteen million, three hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 3576 4768 7152 14304 9180251 18360502 27540753 36721004 55081506 73442008 110163012 146884016 220326024 293768032 440652048 881304096 1367857399 2735714798 4103572197 5471429596 8207144394 10942859192 16414288788 21885718384 32828577576 43771436768 65657155152 131314310304