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102165164442 = 232112192468831
BaseRepresentation
bin101111100100110000…
…1001011000110011010
3100202201001210002111100
41133021201023012122
53133213240230232
6114533430012230
710244514366165
oct1371141130632
9322631702440
10102165164442
113a367632200
1217972aa7076
139832265133
144d32830adc
1529ce374c7c
hex17c984b19a

102165164442 has 72 divisors (see below), whose sum is σ = 256116631680. Its totient is φ = 29329700400.

The previous prime is 102165164419. The next prime is 102165164501. The reversal of 102165164442 is 244461561201.

102165164442 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 6 + 5 + 1 + 644 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102165164397 and 102165164406.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1193034 + ... + 1275797.

It is an arithmetic number, because the mean of its divisors is an integer number (3557175440).

Almost surely, 2102165164442 is an apocalyptic number.

102165164442 is an abundant number, since it is smaller than the sum of its proper divisors (153951467238).

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

102165164442 is a wasteful number, since it uses less digits than its factorization.

102165164442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468880 (or 2468866 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 102165164442 in words is "one hundred two billion, one hundred sixty-five million, one hundred sixty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1881 2178 2299 3762 4598 6897 13794 20691 41382 2468831 4937662 7406493 14812986 22219479 27157141 44438958 46907789 54314282 81471423 93815578 140723367 162942846 244414269 281446734 298728551 422170101 488828538 515985679 597457102 844340202 896185653 1031971358 1547957037 1792371306 2688556959 3095914074 4643871111 5377113918 5675842469 9287742222 11351684938 17027527407 34055054814 51082582221 102165164442