Search a number
-
+
12960000013 is a prime number
BaseRepresentation
bin11000001000111100…
…11110100000001101
31020110012112012210111
430010132132200031
5203020230000023
65542001440021
7636106116412
oct140436364015
936405465714
1012960000013
115550644914
122618340011
1312b700817c
148ad316109
1550cba000d
hex30479e80d

12960000013 has 2 divisors, whose sum is σ = 12960000014. Its totient is φ = 12960000012.

The previous prime is 12959999989. The next prime is 12960000041. The reversal of 12960000013 is 31000006921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12889742089 + 70257924 = 113533^2 + 8382^2 .

It is a cyclic number.

It is not a de Polignac number, because 12960000013 - 233 = 4370065421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12960000913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6480000006 + 6480000007.

It is an arithmetic number, because the mean of its divisors is an integer number (6480000007).

Almost surely, 212960000013 is an apocalyptic number.

It is an amenable number.

12960000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12960000013 is an equidigital number, since it uses as much as digits as its factorization.

12960000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 12960000013 its reverse (31000006921), we get a palindrome (43960006934).

The spelling of 12960000013 in words is "twelve billion, nine hundred sixty million, thirteen", and thus it is an aban number.