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12513102345 = 345123724977
BaseRepresentation
bin10111010011101011…
…01100101000001001
31012022001121110110000
423221311230220021
5201111323233340
65425355113213
7622041420642
oct135165545011
935261543400
1012513102345
115341357aa7
122512742809
131245556593
14869c246c9
154d3825d30
hex2e9d6ca09

12513102345 has 40 divisors (see below), whose sum is σ = 22449926664. Its totient is φ = 6667992576.

The previous prime is 12513102269. The next prime is 12513102361. The reversal of 12513102345 is 54320131521.

12513102345 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 310 + 2 + 345 = 666.

12513102345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 210743289 + 12302359056 = 14517^2 + 110916^2 .

It is not a de Polignac number, because 12513102345 - 221 = 12511005193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 488497 + ... + 513473.

Almost surely, 212513102345 is an apocalyptic number.

12513102345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12513102345 is a deficient number, since it is larger than the sum of its proper divisors (9936824319).

12513102345 is a wasteful number, since it uses less digits than its factorization.

12513102345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26231 (or 26222 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12513102345 its reverse (54320131521), we get a palindrome (66833233866).

The spelling of 12513102345 in words is "twelve billion, five hundred thirteen million, one hundred two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 1237 3711 6185 11133 18555 24977 33399 55665 74931 100197 124885 166995 224793 374655 500985 674379 1123965 2023137 3371895 10115685 30896549 92689647 154482745 278068941 463448235 834206823 1390344705 2502620469 4171034115 12513102345