Search a number
-
+
313055204257 is a prime number
BaseRepresentation
bin1001000111000111000…
…10110101001110100001
31002221001100121010012201
410203203202311032201
520112114113014012
6355452055253201
731421541221335
oct4434342651641
91087040533181
10313055204257
11110847557504
125080967a201
13236a078b743
141121ad5b7c5
1582238b7857
hex48e38b53a1

313055204257 has 2 divisors, whose sum is σ = 313055204258. Its totient is φ = 313055204256.

The previous prime is 313055204239. The next prime is 313055204261. The reversal of 313055204257 is 752402550313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157570096401 + 155485107856 = 396951^2 + 394316^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313055204257 is a prime.

It is not a weakly prime, because it can be changed into another prime (313055204237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156527602128 + 156527602129.

It is an arithmetic number, because the mean of its divisors is an integer number (156527602129).

Almost surely, 2313055204257 is an apocalyptic number.

It is an amenable number.

313055204257 is a deficient number, since it is larger than the sum of its proper divisors (1).

313055204257 is an equidigital number, since it uses as much as digits as its factorization.

313055204257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126000, while the sum is 37.

The spelling of 313055204257 in words is "three hundred thirteen billion, fifty-five million, two hundred four thousand, two hundred fifty-seven".