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311053816361 is a prime number
BaseRepresentation
bin1001000011011000100…
…00001001001000101001
31002201212212122002011002
410201230100021020221
520044014234110421
6354521322444345
731321126546241
oct4415420111051
91081785562132
10311053816361
1110aa0a852122
125034b3636b5
1323441c49752
14110ab220b21
158157d2db0b
hex486c409229

311053816361 has 2 divisors, whose sum is σ = 311053816362. Its totient is φ = 311053816360.

The previous prime is 311053816313. The next prime is 311053816439. The reversal of 311053816361 is 163618350113.

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., 308545809961 + 2508006400 = 555469^2 + 50080^2 .

It is a cyclic number.

It is not a de Polignac number, because 311053816361 - 214 = 311053799977 is a prime.

It is a super-2 number, since 2×3110538163612 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (311053816301) 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, 155526908180 + 155526908181.

It is an arithmetic number, because the mean of its divisors is an integer number (155526908181).

Almost surely, 2311053816361 is an apocalyptic number.

It is an amenable number.

311053816361 is a deficient number, since it is larger than the sum of its proper divisors (1).

311053816361 is an equidigital number, since it uses as much as digits as its factorization.

311053816361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 311053816361 in words is "three hundred eleven billion, fifty-three million, eight hundred sixteen thousand, three hundred sixty-one".