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102131023110312 = 23372343325297439
BaseRepresentation
bin10111001110001100111011…
…010110100110000010101000
3111101121122000121021000101010
4113032030323112212002220
5101341303313404012222
61001114202211423520
730340502650540500
oct2716147326460250
9441548017230333
10102131023110312
112a5a6583aa4aa9
12b555814bb4ba0
1344cabb6521051
141b3124c9b2a00
15bc19e035980c
hex5ce33b5a60a8

102131023110312 has 96 divisors (see below), whose sum is σ = 297100218643200. Its totient is φ = 29171791224576.

The previous prime is 102131023110307. The next prime is 102131023110349. The reversal of 102131023110312 is 213011320131201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8611512 + ... + 16685927.

It is an arithmetic number, because the mean of its divisors is an integer number (3094793944200).

Almost surely, 2102131023110312 is an apocalyptic number.

102131023110312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102131023110312 is an abundant number, since it is smaller than the sum of its proper divisors (194969195532888).

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

102131023110312 is a wasteful number, since it uses less digits than its factorization.

102131023110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25300895 (or 25300884 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 102131023110312 its reverse (213011320131201), we get a palindrome (315142343241513).

The spelling of 102131023110312 in words is "one hundred two trillion, one hundred thirty-one billion, twenty-three million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 3433 6866 10299 13732 20598 24031 27464 41196 48062 72093 82392 96124 144186 168217 192248 288372 336434 504651 576744 672868 1009302 1345736 2018604 4037208 25297439 50594878 75892317 101189756 151784634 177082073 202379512 303569268 354164146 531246219 607138536 708328292 1062492438 1239574511 1416656584 2124984876 2479149022 3718723533 4249969752 4958298044 7437447066 9916596088 14874894132 29749788264 86846108087 173692216174 260538324261 347384432348 521076648522 607922756609 694768864696 1042153297044 1215845513218 1823768269827 2084306594088 2431691026436 3647536539654 4255459296263 4863382052872 7295073079308 8510918592526 12766377888789 14590146158616 17021837185052 25532755777578 34043674370104 51065511555156 102131023110312