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313011313249 is a prime number
BaseRepresentation
bin1001000111000001110…
…11011001101001100001
31002220221022000020001211
410203200323121221201
520112021344010444
6355443450430121
731420466156245
oct4434073315141
91086838006054
10313011313249
111108247a9548
12507b6a32341
1323694661b2b
14112151b4425
15821eae7c34
hex48e0ed9a61

313011313249 has 2 divisors, whose sum is σ = 313011313250. Its totient is φ = 313011313248.

The previous prime is 313011313171. The next prime is 313011313261. The reversal of 313011313249 is 942313110313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202079019024 + 110932294225 = 449532^2 + 333065^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313011313249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313011313249.

It is not a weakly prime, because it can be changed into another prime (313011313289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156505656624 + 156505656625.

It is an arithmetic number, because the mean of its divisors is an integer number (156505656625).

Almost surely, 2313011313249 is an apocalyptic number.

It is an amenable number.

313011313249 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011313249 is an equidigital number, since it uses as much as digits as its factorization.

313011313249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 313011313249 in words is "three hundred thirteen billion, eleven million, three hundred thirteen thousand, two hundred forty-nine".