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102312324 = 223217167177
BaseRepresentation
bin1100001100100…
…10100110000100
321010112000010100
412012102212010
5202142443244
614052524100
72351432442
oct606224604
9233460110
10102312324
1152830844
122a320630
131827314a
14d833b92
158eaeb69
hex6192984

102312324 has 36 divisors (see below), whose sum is σ = 273837564. Its totient is φ = 32097792.

The previous prime is 102312323. The next prime is 102312367. The reversal of 102312324 is 423213201.

It can be written as a sum of positive squares in 2 ways, for example, as 48024900 + 54287424 = 6930^2 + 7368^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102312297 and 102312306.

It is not an unprimeable number, because it can be changed into a prime (102312323) 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, 82977 + ... + 84200.

It is an arithmetic number, because the mean of its divisors is an integer number (7606599).

Almost surely, 2102312324 is an apocalyptic number.

It is an amenable number.

102312324 is an abundant number, since it is smaller than the sum of its proper divisors (171525240).

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

102312324 is a wasteful number, since it uses less digits than its factorization.

102312324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167204 (or 167199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102312324 is about 10114.9554620868. The cubic root of 102312324 is about 467.7092759360.

Adding to 102312324 its reverse (423213201), we get a palindrome (525525525).

The spelling of 102312324 in words is "one hundred two million, three hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 167177 334354 501531 668708 1003062 1504593 2006124 2842009 3009186 5684018 6018372 8526027 11368036 17052054 25578081 34104108 51156162 102312324