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102064311 = 32172923003
BaseRepresentation
bin1100001010101…
…10000010110111
321010001101220200
412011112002313
5202112024221
614043331543
72346350406
oct605260267
9233041820
10102064311
1152681478
122a220bb3
13181b72ab
14d7ab63d
158e61426
hex61560b7

102064311 has 24 divisors (see below), whose sum is σ = 161488080. Its totient is φ = 61829376.

The previous prime is 102064297. The next prime is 102064337. The reversal of 102064311 is 113460201.

It is a happy number.

102064311 is a `hidden beast` number, since 1 + 0 + 20 + 643 + 1 + 1 = 666.

It is not a de Polignac number, because 102064311 - 25 = 102064279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102064351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7065 + ... + 15938.

It is an arithmetic number, because the mean of its divisors is an integer number (6728670).

Almost surely, 2102064311 is an apocalyptic number.

102064311 is a deficient number, since it is larger than the sum of its proper divisors (59423769).

102064311 is a wasteful number, since it uses less digits than its factorization.

102064311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23055 (or 23052 counting only the distinct ones).

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

The square root of 102064311 is about 10102.6883055947. The cubic root of 102064311 is about 467.3310489805.

The spelling of 102064311 in words is "one hundred two million, sixty-four thousand, three hundred eleven".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 23003 69009 207027 391051 667087 1173153 2001261 3519459 6003783 11340479 34021437 102064311