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313043402000401 is a prime number
BaseRepresentation
bin100011100101101100001100…
…0110001101000100000010001
31112001101122201220222011211221
41013023120120301220200101
5312012400341403003101
63025442053100205041
7122636432220251002
oct10713303061504021
91461348656864757
10313043402000401
1190821a6344a536
122b139aa9b39781
1310589b34bb8c77
14574354ab971a9
15262ce9d4ccaa1
hex11cb618c68811

313043402000401 has 2 divisors, whose sum is σ = 313043402000402. Its totient is φ = 313043402000400.

The previous prime is 313043402000369. The next prime is 313043402000423. The reversal of 313043402000401 is 104000204340313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286921285440001 + 26122116560400 = 16938751^2 + 5110980^2 .

It is a cyclic number.

It is not a de Polignac number, because 313043402000401 - 25 = 313043402000369 is a prime.

It is not a weakly prime, because it can be changed into another prime (313043402001401) 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, 156521701000200 + 156521701000201.

It is an arithmetic number, because the mean of its divisors is an integer number (156521701000201).

Almost surely, 2313043402000401 is an apocalyptic number.

It is an amenable number.

313043402000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

313043402000401 is an equidigital number, since it uses as much as digits as its factorization.

313043402000401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 313043402000401 its reverse (104000204340313), we get a palindrome (417043606340714).

The spelling of 313043402000401 in words is "three hundred thirteen trillion, forty-three billion, four hundred two million, four hundred one", and thus it is an aban number.