Search a number
-
+
310131311317 is a prime number
BaseRepresentation
bin1001000001101010100…
…01000100001011010101
31002122111120202222010121
410200311101010023111
520040122103430232
6354250010151541
731256225436202
oct4406521041325
91078446688117
10310131311317
1110a587049463
12501324225b1
1323325aa3689
14110208c6ca9
158101d58d97
hex48354442d5

310131311317 has 2 divisors, whose sum is σ = 310131311318. Its totient is φ = 310131311316.

The previous prime is 310131311299. The next prime is 310131311323. The reversal of 310131311317 is 713113131013.

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., 253332029041 + 56799282276 = 503321^2 + 238326^2 .

It is a cyclic number.

It is not a de Polignac number, because 310131311317 - 223 = 310122922709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 310131311291 and 310131311300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310131318317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155065655658 + 155065655659.

It is an arithmetic number, because the mean of its divisors is an integer number (155065655659).

Almost surely, 2310131311317 is an apocalyptic number.

It is an amenable number.

310131311317 is a deficient number, since it is larger than the sum of its proper divisors (1).

310131311317 is an equidigital number, since it uses as much as digits as its factorization.

310131311317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 25.

The spelling of 310131311317 in words is "three hundred ten billion, one hundred thirty-one million, three hundred eleven thousand, three hundred seventeen".