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12313132101 = 321578714177
BaseRepresentation
bin10110111011110101…
…10111110001000101
31011210010022220211200
423131322313301011
5200204130211401
65353453053113
7614062616214
oct133572676105
934703286750
1012313132101
115249495436
122477787199
131212cac9aa
1484b44d07b
154c0ec5686
hex2ddeb7c45

12313132101 has 12 divisors (see below), whose sum is σ = 17898921612. Its totient is φ = 8156468736.

The previous prime is 12313132093. The next prime is 12313132103. The reversal of 12313132101 is 10123131321.

It can be written as a sum of positive squares in 2 ways, for example, as 9218880225 + 3094251876 = 96015^2 + 55626^2 .

It is not a de Polignac number, because 12313132101 - 23 = 12313132093 is a prime.

It is a super-2 number, since 2×123131321012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313132103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4355676 + ... + 4358501.

It is an arithmetic number, because the mean of its divisors is an integer number (1491576801).

Almost surely, 212313132101 is an apocalyptic number.

It is an amenable number.

12313132101 is a deficient number, since it is larger than the sum of its proper divisors (5585789511).

12313132101 is a wasteful number, since it uses less digits than its factorization.

12313132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714340 (or 8714337 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12313132101 its reverse (10123131321), we get a palindrome (22436263422).

The spelling of 12313132101 in words is "twelve billion, three hundred thirteen million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 157 471 1413 8714177 26142531 78427593 1368125789 4104377367 12313132101