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131407624523 = 7711576532579
BaseRepresentation
bin111101001100010000…
…0010011100101001011
3110120012000121222110102
41322120200103211023
54123110322441043
6140211241240015
712331255243640
oct1723040234513
9416160558412
10131407624523
11508031a628a
122157419300b
13c5126c2856
146508403dc7
1536417126b8
hex1e9881394b

131407624523 has 32 divisors (see below), whose sum is σ = 153559618560. Its totient is φ = 110129685120.

The previous prime is 131407624511. The next prime is 131407624547. The reversal of 131407624523 is 325426704131.

It is not a de Polignac number, because 131407624523 - 212 = 131407620427 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131407629523) 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 31 ways as a sum of consecutive naturals, for example, 50951648 + ... + 50954226.

It is an arithmetic number, because the mean of its divisors is an integer number (4798738080).

Almost surely, 2131407624523 is an apocalyptic number.

131407624523 is a deficient number, since it is larger than the sum of its proper divisors (22151994037).

131407624523 is a wasteful number, since it uses less digits than its factorization.

131407624523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467.

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 131407624523 in words is "one hundred thirty-one billion, four hundred seven million, six hundred twenty-four thousand, five hundred twenty-three".

Divisors: 1 7 71 157 497 653 1099 2579 4571 11147 18053 46363 78029 102521 183109 324541 404903 717647 1281763 1684087 2834321 7278991 11788609 28748113 50952937 119570177 201236791 264401659 836991239 1850811613 18772517789 131407624523