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311313302353 is a prime number
BaseRepresentation
bin1001000011110111011…
…10000000001101010001
31002202112221220100000101
410201323232000031101
520100032201133403
6355003152252401
731330430260204
oct4417356001521
91082487810011
10311313302353
11110033274859
1250402241101
1323483930a61
14110d388993b
1581709d871d
hex487bb80351

311313302353 has 2 divisors, whose sum is σ = 311313302354. Its totient is φ = 311313302352.

The previous prime is 311313302347. The next prime is 311313302389. The reversal of 311313302353 is 353203313113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238835509264 + 72477793089 = 488708^2 + 269217^2 .

It is a cyclic number.

It is not a de Polignac number, because 311313302353 - 29 = 311313301841 is a prime.

It is not a weakly prime, because it can be changed into another prime (311313302453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155656651176 + 155656651177.

It is an arithmetic number, because the mean of its divisors is an integer number (155656651177).

Almost surely, 2311313302353 is an apocalyptic number.

It is an amenable number.

311313302353 is a deficient number, since it is larger than the sum of its proper divisors (1).

311313302353 is an equidigital number, since it uses as much as digits as its factorization.

311313302353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 28.

Adding to 311313302353 its reverse (353203313113), we get a palindrome (664516615466).

The spelling of 311313302353 in words is "three hundred eleven billion, three hundred thirteen million, three hundred two thousand, three hundred fifty-three".