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311330053 is a prime number
BaseRepresentation
bin10010100011101…
…000010100000101
3210200211012112201
4102203220110011
51114200030203
650520514501
710500155536
oct2243502405
9720735481
10311330053
1114a812971
128831ba31
134c666b88
142d4c268d
151c4eae1d
hex128e8505

311330053 has 2 divisors, whose sum is σ = 311330054. Its totient is φ = 311330052.

The previous prime is 311330011. The next prime is 311330059. The reversal of 311330053 is 350033113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301300164 + 10029889 = 17358^2 + 3167^2 .

It is a cyclic number.

It is not a de Polignac number, because 311330053 - 213 = 311321861 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311330053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311330059) 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, 155665026 + 155665027.

It is an arithmetic number, because the mean of its divisors is an integer number (155665027).

Almost surely, 2311330053 is an apocalyptic number.

It is an amenable number.

311330053 is a deficient number, since it is larger than the sum of its proper divisors (1).

311330053 is an equidigital number, since it uses as much as digits as its factorization.

311330053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 311330053 is about 17644.5474013929. The cubic root of 311330053 is about 677.7564851792.

Adding to 311330053 its reverse (350033113), we get a palindrome (661363166).

The spelling of 311330053 in words is "three hundred eleven million, three hundred thirty thousand, fifty-three".