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10131104342106 = 23211209159244633
BaseRepresentation
bin1001001101101101010011…
…1000000010000001011010
31022212112011002011220000200
42103123110320002001122
52311442000202421411
633314055354043030
72063643132021036
oct223332470020132
938775132156020
1010131104342106
113256639313780
121177586419476
13586488a71207
142704c31471c6
151287eebe8e56
hex936d4e0205a

10131104342106 has 48 divisors (see below), whose sum is σ = 23946459001920. Its totient is φ = 3070004391360.

The previous prime is 10131104342087. The next prime is 10131104342167. The reversal of 10131104342106 is 60124340113101.

10131104342106 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 10 + 434 + 210 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10131104342106.

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, 41291166 + ... + 41535798.

It is an arithmetic number, because the mean of its divisors is an integer number (498884562540).

Almost surely, 210131104342106 is an apocalyptic number.

10131104342106 is an abundant number, since it is smaller than the sum of its proper divisors (13815354659814).

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

10131104342106 is a wasteful number, since it uses less digits than its factorization.

10131104342106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453811 (or 453808 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10131104342106 its reverse (60124340113101), we get a palindrome (70255444455207).

The spelling of 10131104342106 in words is "ten trillion, one hundred thirty-one billion, one hundred four million, three hundred forty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 209159 244633 418318 489266 627477 733899 1254954 1467798 1882431 2201697 2300749 2690963 3764862 4403394 4601498 5381926 6902247 8072889 13804494 16145778 20706741 24218667 41413482 48437334 51167193647 102334387294 153501580941 307003161882 460504742823 562839130117 921009485646 1125678260234 1688517390351 3377034780702 5065552171053 10131104342106