Search a number
-
+
313113613 is a prime number
BaseRepresentation
bin10010101010011…
…011110000001101
3210211011211010111
4102222123300031
51120124113423
651023040021
710521264451
oct2252336015
9724154114
10313113613
1115082098a
1288a40011
134cb3c937
142d828661
151c74e60d
hex12a9bc0d

313113613 has 2 divisors, whose sum is σ = 313113614. Its totient is φ = 313113612.

The previous prime is 313113601. The next prime is 313113623. The reversal of 313113613 is 316311313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170119849 + 142993764 = 13043^2 + 11958^2 .

It is an emirp because it is prime and its reverse (316311313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313113613 is a prime.

It is a super-3 number, since 3×3131136133 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313113623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156556806 + 156556807.

It is an arithmetic number, because the mean of its divisors is an integer number (156556807).

Almost surely, 2313113613 is an apocalyptic number.

It is an amenable number.

313113613 is a deficient number, since it is larger than the sum of its proper divisors (1).

313113613 is an equidigital number, since it uses as much as digits as its factorization.

313113613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 486, while the sum is 22.

The square root of 313113613 is about 17695.0166148552. The cubic root of 313113613 is about 679.0482742698.

Adding to 313113613 its reverse (316311313), we get a palindrome (629424926).

The spelling of 313113613 in words is "three hundred thirteen million, one hundred thirteen thousand, six hundred thirteen".