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131309424136 = 231119113815657
BaseRepresentation
bin111101001001010100…
…1101100111000001000
3110112221011211212212001
41322102221230320020
54122410203033021
6140153412400344
712325653455302
oct1722251547010
9415834755761
10131309424136
1150762823940
12215473160b4
13c4c825c207
1464d9360972
153637cb6091
hex1e92a6ce08

131309424136 has 64 divisors (see below), whose sum is σ = 270236943360. Its totient is φ = 59320128000.

The previous prime is 131309424119. The next prime is 131309424193. The reversal of 131309424136 is 631424903131.

It is a junction number, because it is equal to n+sod(n) for n = 131309424095 and 131309424104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23209020 + ... + 23214676.

It is an arithmetic number, because the mean of its divisors is an integer number (4222452240).

Almost surely, 2131309424136 is an apocalyptic number.

It is an amenable number.

131309424136 is an abundant number, since it is smaller than the sum of its proper divisors (138927519224).

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

131309424136 is a wasteful number, since it uses less digits than its factorization.

131309424136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 131309424136 in words is "one hundred thirty-one billion, three hundred nine million, four hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 191 382 764 1381 1528 2101 2762 4202 5524 5657 8404 11048 11314 15191 16808 22628 30382 45256 60764 62227 121528 124454 248908 263771 497816 527542 1055084 1080487 2110168 2160974 2901481 4321948 5802962 7812317 8643896 11605924 11885357 15624634 23211848 23770714 31249268 47541428 62498536 85935487 95082856 171870974 343741948 687483896 1492152547 2984305094 5968610188 11937220376 16413678017 32827356034 65654712068 131309424136