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131056452324 = 223272679310937
BaseRepresentation
bin111101000001110010…
…0101100001011100100
3110112021112211120202200
41322003210230023210
54121400422433244
6140112334334500
712316462315200
oct1720344541344
9415245746680
10131056452324
1150642a50426
122149665a430
13c487a18c55
1464b390db00
153620996669
hex1e8392c2e4

131056452324 has 108 divisors (see below), whose sum is σ = 385460348364. Its totient is φ = 37435765248.

The previous prime is 131056452281. The next prime is 131056452347. The reversal of 131056452324 is 423254650131.

131056452324 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 645 + 2 + 3 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73159430400 + 57897021924 = 270480^2 + 240618^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 11977384 + ... + 11988320.

Almost surely, 2131056452324 is an apocalyptic number.

131056452324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131056452324 is an abundant number, since it is smaller than the sum of its proper divisors (254403896040).

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

131056452324 is a wasteful number, since it uses less digits than its factorization.

131056452324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17754 (or 17742 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 131056452324 in words is "one hundred thirty-one billion, fifty-six million, four hundred fifty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 6793 10937 13586 20379 21874 27172 32811 40758 43748 47551 61137 65622 76559 81516 95102 98433 122274 131244 142653 153118 190204 196866 229677 244548 285306 306236 332857 393732 427959 459354 535913 570612 665714 689031 855918 918708 998571 1071826 1331428 1378062 1607739 1711836 1997142 2143652 2756124 2995713 3215478 3994284 4823217 5991426 6430956 9646434 11982852 19292868 74295041 148590082 222885123 297180164 445770246 520065287 668655369 891540492 1040130574 1337310738 1560195861 2080261148 2674621476 3120391722 3640457009 4680587583 6240783444 7280914018 9361175166 10921371027 14561828036 18722350332 21842742054 32764113081 43685484108 65528226162 131056452324