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313885632217 is a prime number
BaseRepresentation
bin1001001000101010000…
…10101010011011011001
31010000012020012020012211
410210111002222123121
520120314210212332
6400110322235121
731451243565163
oct4442502523331
91100166166184
10313885632217
11111133290303
12509bb7b5aa1
13237a3836331
1411299367933
158271750447
hex49150aa6d9

313885632217 has 2 divisors, whose sum is σ = 313885632218. Its totient is φ = 313885632216.

The previous prime is 313885632149. The next prime is 313885632259. The reversal of 313885632217 is 712236588313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 267641710281 + 46243921936 = 517341^2 + 215044^2 .

It is a cyclic number.

It is not a de Polignac number, because 313885632217 - 215 = 313885599449 is a prime.

It is a super-2 number, since 2×3138856322172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313885632817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156942816108 + 156942816109.

It is an arithmetic number, because the mean of its divisors is an integer number (156942816109).

Almost surely, 2313885632217 is an apocalyptic number.

It is an amenable number.

313885632217 is a deficient number, since it is larger than the sum of its proper divisors (1).

313885632217 is an equidigital number, since it uses as much as digits as its factorization.

313885632217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1451520, while the sum is 49.

The spelling of 313885632217 in words is "three hundred thirteen billion, eight hundred eighty-five million, six hundred thirty-two thousand, two hundred seventeen".