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102164640331 = 1321851732647
BaseRepresentation
bin101111100100101111…
…1001011001001001011
3100202201000210110112211
41133021133023021023
53133213121442311
6114533410445551
710244510054155
oct1371137131113
9322630713484
10102164640331
113a367304456
12179728938b7
139832110700
144d32735ad5
1529ce2be821
hex17c97cb24b

102164640331 has 12 divisors (see below), whose sum is σ = 110637346512. Its totient is φ = 94297840416.

The previous prime is 102164640317. The next prime is 102164640337. The reversal of 102164640331 is 133046461201.

It is a happy number.

It is not a de Polignac number, because 102164640331 - 223 = 102156251723 is a prime.

It is a super-2 number, since 2×1021646403312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102164640293 and 102164640302.

It is not an unprimeable number, because it can be changed into a prime (102164640337) 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, 3113050 + ... + 3145696.

It is an arithmetic number, because the mean of its divisors is an integer number (9219778876).

Almost surely, 2102164640331 is an apocalyptic number.

102164640331 is a deficient number, since it is larger than the sum of its proper divisors (8472706181).

102164640331 is a wasteful number, since it uses less digits than its factorization.

102164640331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51190 (or 51177 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 102164640331 in words is "one hundred two billion, one hundred sixty-four million, six hundred forty thousand, three hundred thirty-one".

Divisors: 1 13 169 18517 32647 240721 424411 3129373 5517343 604524499 7858818487 102164640331