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12313041017 is a prime number
BaseRepresentation
bin10110111011110101…
…00001100001111001
31011210010011021220012
423131322201201321
5200204114303032
65353451111305
7614062056524
oct133572414171
934703137805
1012313041017
115249432a62
122477742535
131212c7a3b4
1484b427bbb
154c0ea86b2
hex2ddea1879

12313041017 has 2 divisors, whose sum is σ = 12313041018. Its totient is φ = 12313041016.

The previous prime is 12313040981. The next prime is 12313041043. The reversal of 12313041017 is 71014031321.

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., 6529286416 + 5783754601 = 80804^2 + 76051^2 .

It is a cyclic number.

It is not a de Polignac number, because 12313041017 - 212 = 12313036921 is a prime.

It is a super-2 number, since 2×123130410172 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12313040983 and 12313041001.

It is not a weakly prime, because it can be changed into another prime (12313041047) 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, 6156520508 + 6156520509.

It is an arithmetic number, because the mean of its divisors is an integer number (6156520509).

Almost surely, 212313041017 is an apocalyptic number.

It is an amenable number.

12313041017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313041017 is an equidigital number, since it uses as much as digits as its factorization.

12313041017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 12313041017 its reverse (71014031321), we get a palindrome (83327072338).

It can be divided in two parts, 1231304 and 1017, that added together give a palindrome (1232321).

The spelling of 12313041017 in words is "twelve billion, three hundred thirteen million, forty-one thousand, seventeen".