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13032000017 is a prime number
BaseRepresentation
bin11000010001100010…
…01000101000010001
31020122020000012020022
430020301020220101
5203142143000032
65553052553225
7640642113101
oct141061105021
936566005208
1013032000017
115588251553
122638482815
1312c8bc711a
148b8ad9201
15514173512
hex308c48a11

13032000017 has 2 divisors, whose sum is σ = 13032000018. Its totient is φ = 13032000016.

The previous prime is 13031999999. The next prime is 13032000071. The reversal of 13032000017 is 71000023031.

Together with next prime (13032000071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9674492881 + 3357507136 = 98359^2 + 57944^2 .

It is a cyclic number.

It is not a de Polignac number, because 13032000017 - 226 = 12964891153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13031999959 and 13032000004.

It is not a weakly prime, because it can be changed into another prime (13032000617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516000008 + 6516000009.

It is an arithmetic number, because the mean of its divisors is an integer number (6516000009).

Almost surely, 213032000017 is an apocalyptic number.

It is an amenable number.

13032000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13032000017 is an equidigital number, since it uses as much as digits as its factorization.

13032000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

Adding to 13032000017 its reverse (71000023031), we get a palindrome (84032023048).

The spelling of 13032000017 in words is "thirteen billion, thirty-two million, seventeen", and thus it is an aban number and an uban number.