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102862006920 = 2335510582511
BaseRepresentation
bin101111111001100001…
…1011010101010001000
3100211111122000100200000
41133303003122222020
53141130133210140
6115130521443000
710301005430001
oct1376303325210
9324448010600
10102862006920
113a694a15282
1217b28340460
13991373a26a
144d9b1c61a8
152a20621a30
hex17f30daa88

102862006920 has 96 divisors (see below), whose sum is σ = 346683093120. Its totient is φ = 27429865920.

The previous prime is 102862006901. The next prime is 102862006937. The reversal of 102862006920 is 29600268201.

It is a happy number.

102862006920 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 620 + 0 + 6 + 9 + 20 = 666.

It is a super-2 number, since 2×1028620069202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5281536 + ... + 5300975.

It is an arithmetic number, because the mean of its divisors is an integer number (3611282220).

Almost surely, 2102862006920 is an apocalyptic number.

102862006920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102862006920 is an abundant number, since it is smaller than the sum of its proper divisors (243821086200).

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

102862006920 is a wasteful number, since it uses less digits than its factorization.

102862006920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10582537 (or 10582521 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 102862006920 in words is "one hundred two billion, eight hundred sixty-two million, six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 10582511 21165022 31747533 42330044 52912555 63495066 84660088 95242599 105825110 126990132 158737665 190485198 211650220 253980264 285727797 317475330 380970396 423300440 476212995 571455594 634950660 761940792 857183391 952425990 1142911188 1269901320 1428638985 1714366782 1904851980 2285822376 2571550173 2857277970 3428733564 3809703960 4285916955 5143100346 5714555940 6857467128 8571833910 10286200692 11429111880 12857750865 17143667820 20572401384 25715501730 34287335640 51431003460 102862006920