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102813122544 = 243111910248517
BaseRepresentation
bin101111111000000100…
…0111011111111110000
3100211101020000202220120
41133300020323333300
53141030124410134
6115122014010240
710266543056646
oct1376010737760
9324336022816
10102813122544
113a66a366770
1217b13aa6980
1399065828b2
144d948dd196
152a1b1b7649
hex17f023bff0

102813122544 has 80 divisors (see below), whose sum is σ = 304995895680. Its totient is φ = 29515726080.

The previous prime is 102813122519. The next prime is 102813122557. The reversal of 102813122544 is 445221318201.

It is a super-2 number, since 2×1028131225442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5114227 + ... + 5134290.

It is an arithmetic number, because the mean of its divisors is an integer number (3812448696).

Almost surely, 2102813122544 is an apocalyptic number.

It is an amenable number.

102813122544 is an abundant number, since it is smaller than the sum of its proper divisors (202182773136).

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

102813122544 is a wasteful number, since it uses less digits than its factorization.

102813122544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10248558 (or 10248552 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 102813122544 in words is "one hundred two billion, eight hundred thirteen million, one hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 10248517 20497034 30745551 40994068 61491102 81988136 112733687 122982204 163976272 194721823 225467374 245964408 338201061 389443646 450934748 491928816 584165469 676402122 778887292 901869496 1168330938 1352804244 1557774584 1803738992 2141940053 2336661876 2705608488 3115549168 4283880106 4673323752 5411216976 6425820159 8567760212 9346647504 12851640318 17135520424 25703280636 34271040848 51406561272 102813122544