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131585532 = 22313843497
BaseRepresentation
bin1111101011111…
…01010111111100
3100011121020102020
413311331113330
5232141214112
621020200140
73155313201
oct765752774
9304536366
10131585532
1168305181
1238099050
1321352380
1413693ca8
15b84348c
hex7d7d5fc

131585532 has 24 divisors (see below), whose sum is σ = 330651216. Its totient is φ = 40487808.

The previous prime is 131585501. The next prime is 131585533. The reversal of 131585532 is 235585131.

It is a junction number, because it is equal to n+sod(n) for n = 131585493 and 131585502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131585533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421593 + ... + 421904.

It is an arithmetic number, because the mean of its divisors is an integer number (13777134).

Almost surely, 2131585532 is an apocalyptic number.

131585532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131585532 is an abundant number, since it is smaller than the sum of its proper divisors (199065684).

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

131585532 is a wasteful number, since it uses less digits than its factorization.

131585532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843517 (or 843515 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 131585532 is about 11471.0737073737. The cubic root of 131585532 is about 508.6308683179.

The spelling of 131585532 in words is "one hundred thirty-one million, five hundred eighty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 843497 1686994 2530491 3373988 5060982 10121964 10965461 21930922 32896383 43861844 65792766 131585532