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313301002081 is a prime number
BaseRepresentation
bin1001000111100100011…
…00011110011101100001
31002221200111002221102211
410203302030132131201
520113120024031311
6355532315442121
731430614402144
oct4436214363541
91087614087384
10313301002081
11110963280001
1250877a56341
132370c68c542
141124186205b
15823a26b821
hex48f231e761

313301002081 has 2 divisors, whose sum is σ = 313301002082. Its totient is φ = 313301002080.

The previous prime is 313301002043. The next prime is 313301002181. The reversal of 313301002081 is 180200103313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 234216313681 + 79084688400 = 483959^2 + 281220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313301002081 is a prime.

It is a super-2 number, since 2×3133010020812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313301002181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156650501040 + 156650501041.

It is an arithmetic number, because the mean of its divisors is an integer number (156650501041).

Almost surely, 2313301002081 is an apocalyptic number.

It is an amenable number.

313301002081 is a deficient number, since it is larger than the sum of its proper divisors (1).

313301002081 is an equidigital number, since it uses as much as digits as its factorization.

313301002081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 313301002081 its reverse (180200103313), we get a palindrome (493501105394).

The spelling of 313301002081 in words is "three hundred thirteen billion, three hundred one million, two thousand, eighty-one".