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102523149 = 3229392809
BaseRepresentation
bin1100001110001…
…10000100001101
321010220201022200
412013012010031
5202221220044
614101232113
72353301211
oct607060415
9233821280
10102523149
1152965183
122a402639
13183180b1
14d88a941
159002369
hex61c610d

102523149 has 12 divisors (see below), whose sum is σ = 153195900. Its totient is φ = 65991744.

The previous prime is 102523139. The next prime is 102523159. The reversal of 102523149 is 941325201.

It is an interprime number because it is at equal distance from previous prime (102523139) and next prime (102523159).

It can be written as a sum of positive squares in 2 ways, for example, as 22867524 + 79655625 = 4782^2 + 8925^2 .

It is not a de Polignac number, because 102523149 - 24 = 102523133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102523129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196144 + ... + 196665.

It is an arithmetic number, because the mean of its divisors is an integer number (12766325).

Almost surely, 2102523149 is an apocalyptic number.

It is an amenable number.

102523149 is a deficient number, since it is larger than the sum of its proper divisors (50672751).

102523149 is a wasteful number, since it uses less digits than its factorization.

102523149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392844 (or 392841 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 102523149 is about 10125.3715487383. The cubic root of 102523149 is about 468.0303097836.

The spelling of 102523149 in words is "one hundred two million, five hundred twenty-three thousand, one hundred forty-nine".

Divisors: 1 3 9 29 87 261 392809 1178427 3535281 11391461 34174383 102523149