Search a number
-
+
212313303131 is a prime number
BaseRepresentation
bin1100010110111011011…
…0111110100001011011
3202022000110221021221112
43011232312332201123
511434304201200011
6241311350530535
721224215204646
oct3055666764133
9668013837845
10212313303131
1182050363086
1235193366a4b
131703735b967
14a3c1576a5d
1557c948058b
hex316edbe85b

212313303131 has 2 divisors, whose sum is σ = 212313303132. Its totient is φ = 212313303130.

The previous prime is 212313303119. The next prime is 212313303187. The reversal of 212313303131 is 131303313212.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212313303131 is a prime.

It is a super-2 number, since 2×2123133031312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212313303097 and 212313303106.

It is not a weakly prime, because it can be changed into another prime (212313303731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106156651565 + 106156651566.

It is an arithmetic number, because the mean of its divisors is an integer number (106156651566).

Almost surely, 2212313303131 is an apocalyptic number.

212313303131 is a deficient number, since it is larger than the sum of its proper divisors (1).

212313303131 is an equidigital number, since it uses as much as digits as its factorization.

212313303131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 212313303131 its reverse (131303313212), we get a palindrome (343616616343).

The spelling of 212313303131 in words is "two hundred twelve billion, three hundred thirteen million, three hundred three thousand, one hundred thirty-one".