Search a number
-
+
12322122013 is a prime number
BaseRepresentation
bin10110111100111010…
…01010100100011101
31011210202020122200101
423132131022210131
5200213430401023
65354413501101
7614232210655
oct133635124435
934722218611
1012322122013
115253575713
12247a7a1791
131214b09876
1484c70d365
154c1b9e1ad
hex2de74a91d

12322122013 has 2 divisors, whose sum is σ = 12322122014. Its totient is φ = 12322122012.

The previous prime is 12322121971. The next prime is 12322122037. The reversal of 12322122013 is 31022122321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9697916484 + 2624205529 = 98478^2 + 51227^2 .

It is a cyclic number.

It is not a de Polignac number, because 12322122013 - 29 = 12322121501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12322122073) 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, 6161061006 + 6161061007.

It is an arithmetic number, because the mean of its divisors is an integer number (6161061007).

Almost surely, 212322122013 is an apocalyptic number.

It is an amenable number.

12322122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12322122013 is an equidigital number, since it uses as much as digits as its factorization.

12322122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12322122013 its reverse (31022122321), we get a palindrome (43344244334).

The spelling of 12322122013 in words is "twelve billion, three hundred twenty-two million, one hundred twenty-two thousand, thirteen".