Search a number
-
+
11212320013 is a prime number
BaseRepresentation
bin10100111000100111…
…00110110100001101
31001221101221212112121
422130103212310031
5140430323220023
65052330532541
7544565101426
oct123423466415
931841855477
1011212320013
114834075a84
12220ab97151
131098c064ab
1478517c64d
1545952dd5d
hex29c4e6d0d

11212320013 has 2 divisors, whose sum is σ = 11212320014. Its totient is φ = 11212320012.

The previous prime is 11212320011. The next prime is 11212320037. The reversal of 11212320013 is 31002321211.

11212320013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5888720644 + 5323599369 = 76738^2 + 72963^2 .

It is a cyclic number.

It is not a de Polignac number, because 11212320013 - 21 = 11212320011 is a prime.

It is a super-2 number, since 2×112123200132 (a number of 21 digits) contains 22 as substring.

Together with 11212320011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11212320011) 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, 5606160006 + 5606160007.

It is an arithmetic number, because the mean of its divisors is an integer number (5606160007).

Almost surely, 211212320013 is an apocalyptic number.

It is an amenable number.

11212320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11212320013 is an equidigital number, since it uses as much as digits as its factorization.

11212320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11212320013 its reverse (31002321211), we get a palindrome (42214641224).

The spelling of 11212320013 in words is "eleven billion, two hundred twelve million, three hundred twenty thousand, thirteen".