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311330081 is a prime number
BaseRepresentation
bin10010100011101…
…000010100100001
3210200211012120202
4102203220110201
51114200030311
650520514545
710500155606
oct2243502441
9720735522
10311330081
1114a812997
128831ba55
134c666baa
142d4c26ad
151c4eae3b
hex128e8521

311330081 has 2 divisors, whose sum is σ = 311330082. Its totient is φ = 311330080.

The previous prime is 311330069. The next prime is 311330083. The reversal of 311330081 is 180033113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258695056 + 52635025 = 16084^2 + 7255^2 .

It is a cyclic number.

It is not a de Polignac number, because 311330081 - 226 = 244221217 is a prime.

It is a super-2 number, since 2×3113300812 = 193852838670933122, which contains 22 as substring.

Together with 311330083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (311330083) 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, 155665040 + 155665041.

It is an arithmetic number, because the mean of its divisors is an integer number (155665041).

Almost surely, 2311330081 is an apocalyptic number.

It is an amenable number.

311330081 is a deficient number, since it is larger than the sum of its proper divisors (1).

311330081 is an equidigital number, since it uses as much as digits as its factorization.

311330081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 311330081 is about 17644.5481948391. The cubic root of 311330081 is about 677.7565054976.

Adding to 311330081 its reverse (180033113), we get a palindrome (491363194).

The spelling of 311330081 in words is "three hundred eleven million, three hundred thirty thousand, eighty-one".