Search a number
-
+
31124251331 is a prime number
BaseRepresentation
bin11100111111001001…
…100110001011000011
32222100002202210021022
4130333021212023003
51002220302020311
622144232420055
72151200525345
oct347711461303
988302683238
1031124251331
1112221912768
12604754762b
132c20287284
14171389b295
15c226a05db
hex73f2662c3

31124251331 has 2 divisors, whose sum is σ = 31124251332. Its totient is φ = 31124251330.

The previous prime is 31124251289. The next prime is 31124251339. The reversal of 31124251331 is 13315242113.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31124251331 is a prime.

It is a super-2 number, since 2×311242513312 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31124251331.

It is not a weakly prime, because it can be changed into another prime (31124251339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15562125665 + 15562125666.

It is an arithmetic number, because the mean of its divisors is an integer number (15562125666).

Almost surely, 231124251331 is an apocalyptic number.

31124251331 is a deficient number, since it is larger than the sum of its proper divisors (1).

31124251331 is an equidigital number, since it uses as much as digits as its factorization.

31124251331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 26.

Adding to 31124251331 its reverse (13315242113), we get a palindrome (44439493444).

The spelling of 31124251331 in words is "thirty-one billion, one hundred twenty-four million, two hundred fifty-one thousand, three hundred thirty-one".