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131085084 = 22313840289
BaseRepresentation
bin1111101000000…
…11001100011100
3100010122210221010
413310003030130
5232024210314
621001335220
73151130154
oct764031434
9303583833
10131085084
1167aa3189
1237a97510
1321208650
14135a3764
15b795059
hex7d0331c

131085084 has 24 divisors (see below), whose sum is σ = 329393680. Its totient is φ = 40333824.

The previous prime is 131085061. The next prime is 131085107. The reversal of 131085084 is 480580131.

It is an interprime number because it is at equal distance from previous prime (131085061) and next prime (131085107).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 419989 + ... + 420300.

Almost surely, 2131085084 is an apocalyptic number.

It is an amenable number.

131085084 is an abundant number, since it is smaller than the sum of its proper divisors (198308596).

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

131085084 is a wasteful number, since it uses less digits than its factorization.

131085084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840309 (or 840307 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 131085084 is about 11449.2394507234. The cubic root of 131085084 is about 507.9852383749.

The spelling of 131085084 in words is "one hundred thirty-one million, eighty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 840289 1680578 2520867 3361156 5041734 10083468 10923757 21847514 32771271 43695028 65542542 131085084