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313330213237 is a prime number
BaseRepresentation
bin1001000111100111110…
…11111010000101110101
31002221202112002000121111
410203303323322011311
520113200013310422
6355535241515021
731431420603646
oct4436373720565
91087675060544
10313330213237
11110978811858
12508857a2a71
1323715749452
14112456a76cd
15823cadba77
hex48f3efa175

313330213237 has 2 divisors, whose sum is σ = 313330213238. Its totient is φ = 313330213236.

The previous prime is 313330213211. The next prime is 313330213297. The reversal of 313330213237 is 732312033313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281843130321 + 31487082916 = 530889^2 + 177446^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313330213237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313330213199 and 313330213208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313330213297) 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, 156665106618 + 156665106619.

It is an arithmetic number, because the mean of its divisors is an integer number (156665106619).

Almost surely, 2313330213237 is an apocalyptic number.

It is an amenable number.

313330213237 is a deficient number, since it is larger than the sum of its proper divisors (1).

313330213237 is an equidigital number, since it uses as much as digits as its factorization.

313330213237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 31.

The spelling of 313330213237 in words is "three hundred thirteen billion, three hundred thirty million, two hundred thirteen thousand, two hundred thirty-seven".