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102264114365117 = 3767103339934331
BaseRepresentation
bin10111010000001000111000…
…001101011100001010111101
3111102002100112221221021101122
4113100020320031130022331
5101400443401234140432
61001255252515120325
730353224041540515
oct2720107015341275
9442070487837348
10102264114365117
112a647a705a2671
12b577578ba30a5
13450a60697b223
141b3787683a845
15bc51ce78a612
hex5d023835c2bd

102264114365117 has 16 divisors (see below), whose sum is σ = 106698784560192. Its totient is φ = 97920255058560.

The previous prime is 102264114365107. The next prime is 102264114365143. The reversal of 102264114365117 is 711563411462201.

It is a cyclic number.

It is not a de Polignac number, because 102264114365117 - 212 = 102264114361021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102264114365107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17406359 + ... + 22527972.

It is an arithmetic number, because the mean of its divisors is an integer number (6668674035012).

Almost surely, 2102264114365117 is an apocalyptic number.

It is an amenable number.

102264114365117 is a deficient number, since it is larger than the sum of its proper divisors (4434670195075).

102264114365117 is a wasteful number, since it uses less digits than its factorization.

102264114365117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39935468.

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 102264114365117 in words is "one hundred two trillion, two hundred sixty-four billion, one hundred fourteen million, three hundred sixty-five thousand, one hundred seventeen".

Divisors: 1 37 67 1033 2479 38221 69211 2560807 39934331 1477570247 2675600177 41252163923 98997206549 1526330065151 2763894982841 102264114365117