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13227038017 is a prime number
BaseRepresentation
bin11000101000110010…
…01001010101000001
31021010211000011001221
430110121021111001
5204042110204032
610024301155041
7645530653024
oct142431112501
937124004057
1013227038017
115678355486
12269185ba81
13132a434a1b
148d69891bb
1552634c597
hex314649541

13227038017 has 2 divisors, whose sum is σ = 13227038018. Its totient is φ = 13227038016.

The previous prime is 13227038009. The next prime is 13227038089. The reversal of 13227038017 is 71083072231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12608819521 + 618218496 = 112289^2 + 24864^2 .

It is a cyclic number.

It is not a de Polignac number, because 13227038017 - 23 = 13227038009 is a prime.

It is not a weakly prime, because it can be changed into another prime (13227038117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6613519008 + 6613519009.

It is an arithmetic number, because the mean of its divisors is an integer number (6613519009).

Almost surely, 213227038017 is an apocalyptic number.

It is an amenable number.

13227038017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13227038017 is an equidigital number, since it uses as much as digits as its factorization.

13227038017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 13227038017 in words is "thirteen billion, two hundred twenty-seven million, thirty-eight thousand, seventeen".