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311681597917 is a prime number
BaseRepresentation
bin1001000100100011010…
…10111100000111011101
31002210111121220200112211
410202101222330013131
520101310442113132
6355103510200421
731342521604204
oct4422152740735
91083447820484
10311681597917
11110202155758
12504a5653111
1323512021621
141112a75a23b
158192ed8147
hex4891abc1dd

311681597917 has 2 divisors, whose sum is σ = 311681597918. Its totient is φ = 311681597916.

The previous prime is 311681597891. The next prime is 311681597923. The reversal of 311681597917 is 719795186113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306106586361 + 5575011556 = 553269^2 + 74666^2 .

It is a cyclic number.

It is not a de Polignac number, because 311681597917 - 219 = 311681073629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311681597947) 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, 155840798958 + 155840798959.

It is an arithmetic number, because the mean of its divisors is an integer number (155840798959).

Almost surely, 2311681597917 is an apocalyptic number.

It is an amenable number.

311681597917 is a deficient number, since it is larger than the sum of its proper divisors (1).

311681597917 is an equidigital number, since it uses as much as digits as its factorization.

311681597917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2857680, while the sum is 58.

The spelling of 311681597917 in words is "three hundred eleven billion, six hundred eighty-one million, five hundred ninety-seven thousand, nine hundred seventeen".