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311953693 is a prime number
BaseRepresentation
bin10010100110000…
…000100100011101
3210201222220000111
4102212000210131
51114330004233
650542130021
710505363662
oct2246004435
9721886014
10311953693
111500a9477
1288580911
134c8249ac
142d605a69
151c5c0acd
hex1298091d

311953693 has 2 divisors, whose sum is σ = 311953694. Its totient is φ = 311953692.

The previous prime is 311953679. The next prime is 311953703. The reversal of 311953693 is 396359113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199317924 + 112635769 = 14118^2 + 10613^2 .

It is a cyclic number.

It is not a de Polignac number, because 311953693 - 29 = 311953181 is a prime.

It is equal to p16864276 and since 311953693 and 16864276 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311953613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155976846 + 155976847.

It is an arithmetic number, because the mean of its divisors is an integer number (155976847).

Almost surely, 2311953693 is an apocalyptic number.

It is an amenable number.

311953693 is a deficient number, since it is larger than the sum of its proper divisors (1).

311953693 is an equidigital number, since it uses as much as digits as its factorization.

311953693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 65610, while the sum is 40.

The square root of 311953693 is about 17662.2108751991. The cubic root of 311953693 is about 678.2087320648.

The spelling of 311953693 in words is "three hundred eleven million, nine hundred fifty-three thousand, six hundred ninety-three".