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12704082137 is a prime number
BaseRepresentation
bin10111101010011100…
…01110100011011001
31012210100222020110122
423311032032203121
5202004221112022
65500340323025
7626550626225
oct136516164331
935710866418
1012704082137
11542a139a3a
1225666a3475
131275ca2c86
14887339785
154e549c742
hex2f538e8d9

12704082137 has 2 divisors, whose sum is σ = 12704082138. Its totient is φ = 12704082136.

The previous prime is 12704082103. The next prime is 12704082163. The reversal of 12704082137 is 73128040721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12197877136 + 506205001 = 110444^2 + 22499^2 .

It is a cyclic number.

It is not a de Polignac number, because 12704082137 - 212 = 12704078041 is a prime.

It is a super-2 number, since 2×127040821372 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12704082097 and 12704082106.

It is not a weakly prime, because it can be changed into another prime (12704082037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6352041068 + 6352041069.

It is an arithmetic number, because the mean of its divisors is an integer number (6352041069).

Almost surely, 212704082137 is an apocalyptic number.

It is an amenable number.

12704082137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12704082137 is an equidigital number, since it uses as much as digits as its factorization.

12704082137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 35.

The spelling of 12704082137 in words is "twelve billion, seven hundred four million, eighty-two thousand, one hundred thirty-seven".