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83131013682 = 23212173794897
BaseRepresentation
bin100110101101011111…
…1101001101000110010
321221120112200001022200
41031122333221220302
52330223014414212
6102105002044030
76002030646243
oct1153277515062
9257515601280
1083131013682
113228a320aa2
12141404a9616
137aba9cb332
144048926cca
1522682e16dc
hex135afe9a32

83131013682 has 24 divisors (see below), whose sum is σ = 180265244796. Its totient is φ = 27687561216.

The previous prime is 83131013597. The next prime is 83131013687. The reversal of 83131013682 is 28631013138.

It can be written as a sum of positive squares in 2 ways, for example, as 82810997361 + 320016321 = 287769^2 + 17889^2 .

It is not an unprimeable number, because it can be changed into a prime (83131013687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1875543 + ... + 1919354.

Almost surely, 283131013682 is an apocalyptic number.

83131013682 is an abundant number, since it is smaller than the sum of its proper divisors (97134231114).

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

83131013682 is a wasteful number, since it uses less digits than its factorization.

83131013682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796122 (or 3796119 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 83131013682 in words is "eighty-three billion, one hundred thirty-one million, thirteen thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 1217 2434 3651 7302 10953 21906 3794897 7589794 11384691 22769382 34154073 68308146 4618389649 9236779298 13855168947 27710337894 41565506841 83131013682