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102309467520 = 2735134098937
BaseRepresentation
bin101111101001000011…
…1101001010110000000
3100210002010022110002210
41133102013221112000
53134012210430040
6115000022542120
710251216060651
oct1372207512600
9323063273083
10102309467520
113a431033247
12179b3297940
13985611ac80
144d47a75528
1529dbd7b480
hex17d21e9580

102309467520 has 128 divisors (see below), whose sum is σ = 351197007840. Its totient is φ = 25183862784.

The previous prime is 102309467479. The next prime is 102309467543. The reversal of 102309467520 is 25764903201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2024509 + ... + 2074428.

Almost surely, 2102309467520 is an apocalyptic number.

102309467520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102309467520 is an abundant number, since it is smaller than the sum of its proper divisors (248887540320).

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

102309467520 is a wasteful number, since it uses less digits than its factorization.

102309467520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098972 (or 4098960 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 102309467520 in words is "one hundred two billion, three hundred nine million, four hundred sixty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 4098937 8197874 12296811 16395748 20494685 24593622 32791496 40989370 49187244 53286181 61484055 65582992 81978740 98374488 106572362 122968110 131165984 159858543 163957480 196748976 213144724 245936220 262331968 266430905 319717086 327914960 393497952 426289448 491872440 524663936 532861810 639434172 655829920 786995904 799292715 852578896 983744880 1065723620 1278868344 1311659840 1573991808 1598585430 1705157792 1967489760 2131447240 2557736688 2623319680 3197170860 3410315584 3934979520 4262894480 5115473376 6394341720 6820631168 7869959040 8525788960 10230946752 12788683440 17051577920 20461893504 25577366880 34103155840 51154733760 102309467520