Search a number
-
+
31313303213 is a prime number
BaseRepresentation
bin11101001010011010…
…110001011010101101
32222211021111121200212
4131022122301122231
51003112201200323
622215104432205
72155654454123
oct351232613255
988737447625
1031313303213
11123095a8195
12609a918665
132c504aa2aa
141730a2d913
15c34095b78
hex74a6b16ad

31313303213 has 2 divisors, whose sum is σ = 31313303214. Its totient is φ = 31313303212.

The previous prime is 31313303129. The next prime is 31313303239. The reversal of 31313303213 is 31230331313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27181127689 + 4132175524 = 164867^2 + 64282^2 .

It is a cyclic number.

It is not a de Polignac number, because 31313303213 - 220 = 31312254637 is a prime.

It is a super-2 number, since 2×313133032132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31313303113) 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, 15656651606 + 15656651607.

It is an arithmetic number, because the mean of its divisors is an integer number (15656651607).

Almost surely, 231313303213 is an apocalyptic number.

It is an amenable number.

31313303213 is a deficient number, since it is larger than the sum of its proper divisors (1).

31313303213 is an equidigital number, since it uses as much as digits as its factorization.

31313303213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 31313303213 its reverse (31230331313), we get a palindrome (62543634526).

The spelling of 31313303213 in words is "thirty-one billion, three hundred thirteen million, three hundred three thousand, two hundred thirteen".