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131387876257 = 1122351679137
BaseRepresentation
bin111101001011101010…
…0111110001110100001
3110120010122110122221011
41322113110332032201
54123040244020012
6140205254100521
712330625343551
oct1722724761641
9416118418834
10131387876257
11507a3038100
122156964a741
13c50b599ba1
146505943161
15363eb111a7
hex1e9753e3a1

131387876257 has 24 divisors (see below), whose sum is σ = 150742787328. Its totient is φ = 114215713920.

The previous prime is 131387876203. The next prime is 131387876273. The reversal of 131387876257 is 752678783131.

It is a de Polignac number, because none of the positive numbers 2k-131387876257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131387876287) 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, 14375193 + ... + 14384329.

It is an arithmetic number, because the mean of its divisors is an integer number (6280949472).

Almost surely, 2131387876257 is an apocalyptic number.

It is an amenable number.

131387876257 is a deficient number, since it is larger than the sum of its proper divisors (19354911071).

131387876257 is a wasteful number, since it uses less digits than its factorization.

131387876257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14349 (or 14338 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 58.

The spelling of 131387876257 in words is "one hundred thirty-one billion, three hundred eighty-seven million, eight hundred seventy-six thousand, two hundred fifty-seven".

Divisors: 1 11 23 121 253 2783 5167 9137 56837 100507 118841 210151 625207 1105577 1307251 2311661 14379761 25428271 47210879 519319669 1085850217 5712516359 11944352387 131387876257