Search a number
-
+
313332293 is a prime number
BaseRepresentation
bin10010101011010…
…001001001000101
3210211120221002202
4102223101021011
51120203113133
651031444245
710523165141
oct2253211105
9724527082
10313332293
1115096020a
1288b26685
134cbb8331
142d884221
151c7942e8
hex12ad1245

313332293 has 2 divisors, whose sum is σ = 313332294. Its totient is φ = 313332292.

The previous prime is 313332277. The next prime is 313332307. The reversal of 313332293 is 392233313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209149444 + 104182849 = 14462^2 + 10207^2 .

It is a cyclic number.

It is not a de Polignac number, because 313332293 - 24 = 313332277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313332203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156666146 + 156666147.

It is an arithmetic number, because the mean of its divisors is an integer number (156666147).

Almost surely, 2313332293 is an apocalyptic number.

It is an amenable number.

313332293 is a deficient number, since it is larger than the sum of its proper divisors (1).

313332293 is an equidigital number, since it uses as much as digits as its factorization.

313332293 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8748, while the sum is 29.

The square root of 313332293 is about 17701.1946771962. The cubic root of 313332293 is about 679.2063209704.

The spelling of 313332293 in words is "three hundred thirteen million, three hundred thirty-two thousand, two hundred ninety-three".