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102064131 = 351332309
BaseRepresentation
bin1100001010101…
…10000000000011
321010001101200000
412011112000003
5202112023011
614043331043
72346350031
oct605260003
9233041600
10102064131
1152681324
122a220a83
13181b71a0
14d7ab551
158e61356
hex6156003

102064131 has 24 divisors (see below), whose sum is σ = 164651760. Its totient is φ = 62806752.

The previous prime is 102064103. The next prime is 102064139. The reversal of 102064131 is 131460201.

It is a happy number.

102064131 is a `hidden beast` number, since 1 + 0 + 20 + 641 + 3 + 1 = 666.

It is not a de Polignac number, because 102064131 - 211 = 102062083 is a prime.

It is a super-2 number, since 2×1020641312 = 20834173673570322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102064139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12996 + ... + 19313.

It is an arithmetic number, because the mean of its divisors is an integer number (6860490).

Almost surely, 2102064131 is an apocalyptic number.

102064131 is a deficient number, since it is larger than the sum of its proper divisors (62587629).

102064131 is an equidigital number, since it uses as much as digits as its factorization.

102064131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32337 (or 32325 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102064131 is about 10102.6793970709. The cubic root of 102064131 is about 467.3307742529.

The spelling of 102064131 in words is "one hundred two million, sixty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 32309 96927 290781 420017 872343 1260051 2617029 3780153 7851087 11340459 34021377 102064131