Search a number
-
+
113344000013 is a prime number
BaseRepresentation
bin110100110001111010…
…1000011000000001101
3101211120010201210000102
41221203311003000031
53324112031000023
6124023003140445
711121525050426
oct1514365030015
9354503653012
10113344000013
1144083807892
1219b72814725
13a8c424663a
1456b337464d
152e3598c628
hex1a63d4300d

113344000013 has 2 divisors, whose sum is σ = 113344000014. Its totient is φ = 113344000012.

The previous prime is 113344000009. The next prime is 113344000039. The reversal of 113344000013 is 310000443311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81194792809 + 32149207204 = 284947^2 + 179302^2 .

It is a cyclic number.

It is not a de Polignac number, because 113344000013 - 22 = 113344000009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113344000313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56672000006 + 56672000007.

It is an arithmetic number, because the mean of its divisors is an integer number (56672000007).

Almost surely, 2113344000013 is an apocalyptic number.

It is an amenable number.

113344000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113344000013 is an equidigital number, since it uses as much as digits as its factorization.

113344000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 113344000013 its reverse (310000443311), we get a palindrome (423344443324).

The spelling of 113344000013 in words is "one hundred thirteen billion, three hundred forty-four million, thirteen", and thus it is an aban number.