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131585016 = 23312234483
BaseRepresentation
bin1111101011111…
…01001111111000
3100011121012201010
413311331033320
5232141210031
621020153520
73155311533
oct765751770
9304535633
10131585016
1168304852
12380988a0
1321352074
1413693a1a
15b843246
hex7d7d3f8

131585016 has 32 divisors (see below), whose sum is σ = 329304960. Its totient is φ = 43816032.

The previous prime is 131584961. The next prime is 131585021. The reversal of 131585016 is 610585131.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27111 + ... + 31593.

It is an arithmetic number, because the mean of its divisors is an integer number (10290780).

Almost surely, 2131585016 is an apocalyptic number.

It is an amenable number.

131585016 is an abundant number, since it is smaller than the sum of its proper divisors (197719944).

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

131585016 is a wasteful number, since it uses less digits than its factorization.

131585016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 131585016 is about 11471.0512159959. The cubic root of 131585016 is about 508.6302034681.

The spelling of 131585016 in words is "one hundred thirty-one million, five hundred eighty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 1223 2446 3669 4483 4892 7338 8966 9784 13449 14676 17932 26898 29352 35864 53796 107592 5482709 10965418 16448127 21930836 32896254 43861672 65792508 131585016