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13123222319 is a prime number
BaseRepresentation
bin11000011100011010…
…00111101100101111
31020212120122202201002
430032031013230233
5203334021103234
610010112110515
7643130356244
oct141615075457
936776582632
1013123222319
115624798189
122662b3543b
131311a8650c
148c6c835cb
1551c19227e
hex30e347b2f

13123222319 has 2 divisors, whose sum is σ = 13123222320. Its totient is φ = 13123222318.

The previous prime is 13123222291. The next prime is 13123222327. The reversal of 13123222319 is 91322232131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13123222319 - 228 = 12854786863 is a prime.

It is a super-2 number, since 2×131232223192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13123222291 and 13123222300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123222339) 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, 6561611159 + 6561611160.

It is an arithmetic number, because the mean of its divisors is an integer number (6561611160).

Almost surely, 213123222319 is an apocalyptic number.

13123222319 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123222319 is an equidigital number, since it uses as much as digits as its factorization.

13123222319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 29.

The spelling of 13123222319 in words is "thirteen billion, one hundred twenty-three million, two hundred twenty-two thousand, three hundred nineteen".