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131273064 = 233213140249
BaseRepresentation
bin1111101001100…
…01000101101000
3100011000100210100
413310301011220
5232101214224
621005345400
73152542206
oct764610550
9304010710
10131273064
116811143a
1237b68260
1321273090
1413612076
15b7d0ac9
hex7d31168

131273064 has 48 divisors (see below), whose sum is σ = 382882500. Its totient is φ = 40391424.

The previous prime is 131273063. The next prime is 131273081. The reversal of 131273064 is 460372131.

It can be written as a sum of positive squares in 2 ways, for example, as 124144164 + 7128900 = 11142^2 + 2670^2 .

It is not an unprimeable number, because it can be changed into a prime (131273063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69189 + ... + 71060.

Almost surely, 2131273064 is an apocalyptic number.

It is an amenable number.

131273064 is an abundant number, since it is smaller than the sum of its proper divisors (251609436).

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

131273064 is a wasteful number, since it uses less digits than its factorization.

131273064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140274 (or 140267 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 131273064 is about 11457.4457886564. The cubic root of 131273064 is about 508.2279444932.

The spelling of 131273064 in words is "one hundred thirty-one million, two hundred seventy-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 140249 280498 420747 560996 841494 1121992 1262241 1682988 1823237 2524482 3365976 3646474 5048964 5469711 7292948 10097928 10939422 14585896 16409133 21878844 32818266 43757688 65636532 131273064