Search a number
-
+
31310300993 is a prime number
BaseRepresentation
bin11101001010001111…
…010100011101000001
32222211001212002102112
4131022033110131001
51003110414112433
622214520225105
72155620111236
oct351217243501
988731762375
1031310300993
1112307937614
12609990b195
132c4c99892a
14173048b78d
15c33ba1348
hex74a3d4741

31310300993 has 2 divisors, whose sum is σ = 31310300994. Its totient is φ = 31310300992.

The previous prime is 31310300941. The next prime is 31310301013. The reversal of 31310300993 is 39900301313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30101209009 + 1209091984 = 173497^2 + 34772^2 .

It is a cyclic number.

It is not a de Polignac number, because 31310300993 - 26 = 31310300929 is a prime.

It is not a weakly prime, because it can be changed into another prime (31310300093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15655150496 + 15655150497.

It is an arithmetic number, because the mean of its divisors is an integer number (15655150497).

Almost surely, 231310300993 is an apocalyptic number.

It is an amenable number.

31310300993 is a deficient number, since it is larger than the sum of its proper divisors (1).

31310300993 is an equidigital number, since it uses as much as digits as its factorization.

31310300993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6561, while the sum is 32.

The spelling of 31310300993 in words is "thirty-one billion, three hundred ten million, three hundred thousand, nine hundred ninety-three".