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12717010409 is a prime number
BaseRepresentation
bin10111101011111111…
…00010110111101001
31012211021022001201112
423311333202313221
5202021023313114
65501521400105
7630065543045
oct136577426751
935737261645
1012717010409
11543646a164
12256aa99035
13127887b63c
14888d43025
154e66a313e
hex2f5fe2de9

12717010409 has 2 divisors, whose sum is σ = 12717010410. Its totient is φ = 12717010408.

The previous prime is 12717010399. The next prime is 12717010417. The reversal of 12717010409 is 90401071721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11251269184 + 1465741225 = 106072^2 + 38285^2 .

It is a cyclic number.

It is not a de Polignac number, because 12717010409 - 24 = 12717010393 is a prime.

It is a super-2 number, since 2×127170104092 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12717010609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6358505204 + 6358505205.

It is an arithmetic number, because the mean of its divisors is an integer number (6358505205).

Almost surely, 212717010409 is an apocalyptic number.

It is an amenable number.

12717010409 is a deficient number, since it is larger than the sum of its proper divisors (1).

12717010409 is an equidigital number, since it uses as much as digits as its factorization.

12717010409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 32.

The spelling of 12717010409 in words is "twelve billion, seven hundred seventeen million, ten thousand, four hundred nine".