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311311109 is a prime number
BaseRepresentation
bin10010100011100…
…011101100000101
3210200210020120002
4102203203230011
51114143423414
650520251045
710500046364
oct2243435405
9720706502
10311311109
1114a7aa70a
1288310a85
134c65b375
142d4b97db
151c4e54de
hex128e3b05

311311109 has 2 divisors, whose sum is σ = 311311110. Its totient is φ = 311311108.

The previous prime is 311311103. The next prime is 311311139. The reversal of 311311109 is 901113113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310816900 + 494209 = 17630^2 + 703^2 .

It is a cyclic number.

It is not a de Polignac number, because 311311109 - 212 = 311307013 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311311103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155655554 + 155655555.

It is an arithmetic number, because the mean of its divisors is an integer number (155655555).

Almost surely, 2311311109 is an apocalyptic number.

It is an amenable number.

311311109 is a deficient number, since it is larger than the sum of its proper divisors (1).

311311109 is an equidigital number, since it uses as much as digits as its factorization.

311311109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 311311109 is about 17644.0105701623. The cubic root of 311311109 is about 677.7427380544.

The spelling of 311311109 in words is "three hundred eleven million, three hundred eleven thousand, one hundred nine".