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12323522105 = 517237534349
BaseRepresentation
bin10110111101000101…
…00000011000111001
31011210211212210020122
423132202200120321
5200214310201410
65354503503025
7614250131606
oct133642403071
934724783218
1012323522105
115254341614
12247b157a75
1312151a9c1b
1484c9956ad
154c1d78e55
hex2de8a0639

12323522105 has 48 divisors (see below), whose sum is σ = 16442060400. Its totient is φ = 8855728128.

The previous prime is 12323522087. The next prime is 12323522137. The reversal of 12323522105 is 50122532321.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 3219881536 + 9103640569 = 56744^2 + 95413^2 .

It is not a de Polignac number, because 12323522105 - 26 = 12323522041 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2831471 + ... + 2835819.

It is an arithmetic number, because the mean of its divisors is an integer number (342542925).

Almost surely, 212323522105 is an apocalyptic number.

It is an amenable number.

12323522105 is a deficient number, since it is larger than the sum of its proper divisors (4118538295).

12323522105 is a wasteful number, since it uses less digits than its factorization.

12323522105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 12323522105 in words is "twelve billion, three hundred twenty-three million, five hundred twenty-two thousand, one hundred five".

Divisors: 1 5 17 37 53 85 185 265 289 629 901 1445 1961 3145 4349 4505 9805 10693 15317 21745 33337 53465 73933 76585 160913 166685 230497 369665 566729 804565 1152485 1256861 2735521 2833645 3918449 6284305 8528389 13677605 19592245 42641945 46503857 66613633 144982613 232519285 333068165 724913065 2464704421 12323522105