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13192212217 is a prime number
BaseRepresentation
bin11000100100101000…
…10010111011111001
31021001101110211001111
430102110102323321
5204004201242332
610021014520321
7644625645052
oct142224227371
937041424044
1013192212217
11565a729328
1226820660a1
131323160342
148d20c1729
1552326d947
hex312512ef9

13192212217 has 2 divisors, whose sum is σ = 13192212218. Its totient is φ = 13192212216.

The previous prime is 13192212157. The next prime is 13192212227. The reversal of 13192212217 is 71221229131.

13192212217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12337877776 + 854334441 = 111076^2 + 29229^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13192212217 is a prime.

It is not a weakly prime, because it can be changed into another prime (13192212227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6596106108 + 6596106109.

It is an arithmetic number, because the mean of its divisors is an integer number (6596106109).

Almost surely, 213192212217 is an apocalyptic number.

It is an amenable number.

13192212217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13192212217 is an equidigital number, since it uses as much as digits as its factorization.

13192212217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 31.

The spelling of 13192212217 in words is "thirteen billion, one hundred ninety-two million, two hundred twelve thousand, two hundred seventeen".