Search a number
-
+
31331313341 is a prime number
BaseRepresentation
bin11101001011011111…
…011110011010111101
32222212112101121221122
4131023133132122331
51003131304011331
622220550440325
72156263524566
oct351337363275
988775347848
1031331313341
1112318789499
1260a49630a5
132c54144a83
14173319b16d
15c3595217b
hex74b7de6bd

31331313341 has 2 divisors, whose sum is σ = 31331313342. Its totient is φ = 31331313340.

The previous prime is 31331313281. The next prime is 31331313371. The reversal of 31331313341 is 14331313313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16524074116 + 14807239225 = 128546^2 + 121685^2 .

It is a cyclic number.

It is not a de Polignac number, because 31331313341 - 218 = 31331051197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31331313341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31331313371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665656670 + 15665656671.

It is an arithmetic number, because the mean of its divisors is an integer number (15665656671).

Almost surely, 231331313341 is an apocalyptic number.

It is an amenable number.

31331313341 is a deficient number, since it is larger than the sum of its proper divisors (1).

31331313341 is an equidigital number, since it uses as much as digits as its factorization.

31331313341 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 26.

Adding to 31331313341 its reverse (14331313313), we get a palindrome (45662626654).

The spelling of 31331313341 in words is "thirty-one billion, three hundred thirty-one million, three hundred thirteen thousand, three hundred forty-one".