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102123123232 = 25132910183813
BaseRepresentation
bin101111100011100000…
…0110011001000100000
3100202121010200011210111
41133013000303020200
53133122004420412
6114525324541104
710243464140104
oct1370700631040
9322533604714
10102123123232
113a345927aa9
12179609b1794
139826635490
144d2b009904
1529ca81d2a7
hex17c7033220

102123123232 has 96 divisors (see below), whose sum is σ = 226207280880. Its totient is φ = 45057331200.

The previous prime is 102123123217. The next prime is 102123123233. The reversal of 102123123232 is 232321321201.

It can be written as a sum of positive squares in 8 ways, for example, as 85565610256 + 16557512976 = 292516^2 + 128676^2 .

It is not an unprimeable number, because it can be changed into a prime (102123123233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1176558 + ... + 1260370.

Almost surely, 2102123123232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113103640440).

102123123232 is an abundant number, since it is smaller than the sum of its proper divisors (124084157648).

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

102123123232 is a wasteful number, since it uses less digits than its factorization.

102123123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83966 (or 83958 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102123123232 its reverse (232321321201), we get a palindrome (334444444433).

The spelling of 102123123232 in words is "one hundred two billion, one hundred twenty-three million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 101 104 116 202 208 232 377 404 416 464 754 808 928 1313 1508 1616 2626 2929 3016 3232 5252 5858 6032 10504 11716 12064 21008 23432 38077 42016 46864 76154 83813 93728 152308 167626 304616 335252 609232 670504 1089569 1218464 1341008 2179138 2430577 2682016 4358276 4861154 8465113 8716552 9722308 16930226 17433104 19444616 31597501 33860452 34866208 38889232 63195002 67720904 77778464 110046469 126390004 135441808 220092938 245488277 252780008 270883616 440185876 490976554 505560016 880371752 981953108 1011120032 1760743504 1963906216 3191347601 3521487008 3927812432 6382695202 7855624864 12765390404 25530780808 51061561616 102123123232