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131330026373 = 71317231116057
BaseRepresentation
bin111101001001111100…
…0010010101110000101
3110112222121121120210212
41322103320102232011
54122430441320443
6140155430125205
712326323543160
oct1722370225605
9415877546725
10131330026373
1150773415687
12215521b0805
13c4cc5c37a0
1464dbda4ad7
1536399d5618
hex1e93e12b85

131330026373 has 48 divisors (see below), whose sum is σ = 172267140864. Its totient is φ = 97476618240.

The previous prime is 131330026279. The next prime is 131330026397. The reversal of 131330026373 is 373620033131.

It is not a de Polignac number, because 131330026373 - 28 = 131330026117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330026573) 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 47 ways as a sum of consecutive naturals, for example, 8170961 + ... + 8187017.

It is an arithmetic number, because the mean of its divisors is an integer number (3588898768).

Almost surely, 2131330026373 is an apocalyptic number.

131330026373 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131330026373 is a deficient number, since it is larger than the sum of its proper divisors (40937114491).

131330026373 is a wasteful number, since it uses less digits than its factorization.

131330026373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16422 (or 16405 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 32.

The spelling of 131330026373 in words is "one hundred thirty-one billion, three hundred thirty million, twenty-six thousand, three hundred seventy-three".

Divisors: 1 7 13 17 91 119 221 289 311 1547 2023 2177 3757 4043 5287 16057 26299 28301 37009 68731 89879 112399 208741 272969 481117 629153 1168427 1461187 1910783 3548597 4640473 4993727 8178989 24840179 32483311 34956089 60326149 64918451 84893359 422283043 454429157 594253513 1103613667 1443187103 7725295669 10102309721 18761432339 131330026373