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313302231001 is a prime number
BaseRepresentation
bin1001000111100100100…
…01001010011111011001
31002221200120102101012101
410203302101022133121
520113120332343001
6355532402043401
731430631011044
oct4436221123731
91087616371171
10313302231001
11110963a3a341
1250878349561
132370c9cca06
1411241aa1c5b
15823a410a01
hex48f244a7d9

313302231001 has 2 divisors, whose sum is σ = 313302231002. Its totient is φ = 313302231000.

The previous prime is 313302230993. The next prime is 313302231019. The reversal of 313302231001 is 100132203313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206569341001 + 106732890000 = 454499^2 + 326700^2 .

It is a cyclic number.

It is not a de Polignac number, because 313302231001 - 23 = 313302230993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313302231001.

It is not a weakly prime, because it can be changed into another prime (313302231031) 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, 156651115500 + 156651115501.

It is an arithmetic number, because the mean of its divisors is an integer number (156651115501).

Almost surely, 2313302231001 is an apocalyptic number.

It is an amenable number.

313302231001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313302231001 is an equidigital number, since it uses as much as digits as its factorization.

313302231001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 313302231001 its reverse (100132203313), we get a palindrome (413434434314).

The spelling of 313302231001 in words is "three hundred thirteen billion, three hundred two million, two hundred thirty-one thousand, one".