Search a number
-
+
313131222007 is a prime number
BaseRepresentation
bin1001000111010000001…
…00110100001111110111
31002221020122122012221221
410203220010310033313
520112243043101012
6355503412451211
731423453320412
oct4435004641767
91087218565857
10313131222007
1111088645879a
125082b019b07
13236b3456366
14112270a8b79
15822a3d1507
hex48e81343f7

313131222007 has 2 divisors, whose sum is σ = 313131222008. Its totient is φ = 313131222006.

The previous prime is 313131221941. The next prime is 313131222013. The reversal of 313131222007 is 700222131313.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313131222007 is a prime.

It is a super-2 number, since 2×3131312220072 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313131222017) 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, 156565611003 + 156565611004.

It is an arithmetic number, because the mean of its divisors is an integer number (156565611004).

Almost surely, 2313131222007 is an apocalyptic number.

313131222007 is a deficient number, since it is larger than the sum of its proper divisors (1).

313131222007 is an equidigital number, since it uses as much as digits as its factorization.

313131222007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

The spelling of 313131222007 in words is "three hundred thirteen billion, one hundred thirty-one million, two hundred twenty-two thousand, seven".