Search a number
-
+
310747013 is a prime number
BaseRepresentation
bin10010100001011…
…001111110000101
3210122201120202122
4102201121332011
51114022401023
650500215325
710462206653
oct2241317605
9718646678
10310747013
1114a454915
128809a545
134c4c1695
142d3addd3
151c4332c8
hex12859f85

310747013 has 2 divisors, whose sum is σ = 310747014. Its totient is φ = 310747012.

The previous prime is 310747009. The next prime is 310747039.

310747013 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (310747039) can be obtained adding 310747013 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308986084 + 1760929 = 17578^2 + 1327^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 310747013 - 22 = 310747009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310747313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155373506 + 155373507.

It is an arithmetic number, because the mean of its divisors is an integer number (155373507).

Almost surely, 2310747013 is an apocalyptic number.

It is an amenable number.

310747013 is a deficient number, since it is larger than the sum of its proper divisors (1).

310747013 is an equidigital number, since it uses as much as digits as its factorization.

310747013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 310747013 is about 17628.0178409258. The cubic root of 310747013 is about 677.3331337435. Note that the first 3 decimals are identical.

The spelling of 310747013 in words is "three hundred ten million, seven hundred forty-seven thousand, thirteen".