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131003561838905 = 572917358291553
BaseRepresentation
bin11101110010010110100100…
…110001001000100100111001
3122011211211002110122212200022
4131302112210301020210321
5114132330243312321110
61142342112215020225
736410460246453500
oct3562264461104471
9564754073585608
10131003561838905
1138818331447438
121283944b96a675
13581377675c2c2
14244c86b69d837
151022a83884755
hex7725a4c48939

131003561838905 has 24 divisors (see below), whose sum is σ = 182890217007432. Its totient is φ = 89821219310592.

The previous prime is 131003561838893. The next prime is 131003561838913. The reversal of 131003561838905 is 509838165300131.

It can be written as a sum of positive squares in 4 ways, for example, as 12772103620864 + 118231458218041 = 3573808^2 + 10873429^2 .

It is a de Polignac number, because none of the positive numbers 2k-131003561838905 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26898392 + ... + 31393161.

It is an arithmetic number, because the mean of its divisors is an integer number (7620425708643).

Almost surely, 2131003561838905 is an apocalyptic number.

It is an amenable number.

131003561838905 is a deficient number, since it is larger than the sum of its proper divisors (51886655168527).

131003561838905 is an equidigital number, since it uses as much as digits as its factorization.

131003561838905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58300745 (or 58300738 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 53.

The spelling of 131003561838905 in words is "one hundred thirty-one trillion, three billion, five hundred sixty-one million, eight hundred thirty-eight thousand, nine hundred five".

Divisors: 1 5 7 35 49 245 9173 45865 64211 321055 449477 2247385 58291553 291457765 408040871 2040204355 2856286097 14281430485 534708415669 2673542078345 3742958909683 18714794548415 26200712367781 131003561838905