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102154113 = 32102111117
BaseRepresentation
bin1100001011010…
…11111110000001
321010012222002200
412011223332001
5202122412423
614045303413
72350203255
oct605537601
9233188080
10102154113
1152732996
122a264b69
1318219129
14d7d2265
158e7cd43
hex616bf81

102154113 has 12 divisors (see below), whose sum is σ = 147713748. Its totient is φ = 68029920.

The previous prime is 102154103. The next prime is 102154133. The reversal of 102154113 is 311451201.

It can be written as a sum of positive squares in 2 ways, for example, as 32798529 + 69355584 = 5727^2 + 8328^2 .

It is not a de Polignac number, because 102154113 - 25 = 102154081 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102154103) 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, 3631 + ... + 14747.

It is an arithmetic number, because the mean of its divisors is an integer number (12309479).

Almost surely, 2102154113 is an apocalyptic number.

It is an amenable number.

102154113 is a deficient number, since it is larger than the sum of its proper divisors (45559635).

102154113 is a wasteful number, since it uses less digits than its factorization.

102154113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144 (or 12141 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 102154113 is about 10107.1317889894. The cubic root of 102154113 is about 467.4680703025.

The spelling of 102154113 in words is "one hundred two million, one hundred fifty-four thousand, one hundred thirteen".

Divisors: 1 3 9 1021 3063 9189 11117 33351 100053 11350457 34051371 102154113