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313312401001 = 432349148539
BaseRepresentation
bin1001000111100101101…
…11111101011001101001
31002221201021120001211001
410203302313331121221
520113130433313001
6355533404035001
731431113316145
oct4436267753151
91087637501731
10313312401001
111109697561a6
125087b832a61
1323711b50a72
141124318c225
15823b26e001
hex48f2dfd669

313312401001 has 12 divisors (see below), whose sum is σ = 320866680240. Its totient is φ = 305932101720.

The previous prime is 313312400983. The next prime is 313312401007. The reversal of 313312401001 is 100104213313.

It is not a de Polignac number, because 313312401001 - 215 = 313312368233 is a prime.

It is a super-2 number, since 2×3133124010012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313312401001.

It is not an unprimeable number, because it can be changed into a prime (313312401007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6430590 + ... + 6479128.

It is an arithmetic number, because the mean of its divisors is an integer number (26738890020).

Almost surely, 2313312401001 is an apocalyptic number.

It is an amenable number.

313312401001 is a deficient number, since it is larger than the sum of its proper divisors (7554279239).

313312401001 is an equidigital number, since it uses as much as digits as its factorization.

313312401001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52116 (or 52073 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 313312401001 its reverse (100104213313), we get a palindrome (413416614314).

The spelling of 313312401001 in words is "three hundred thirteen billion, three hundred twelve million, four hundred one thousand, one".

Divisors: 1 43 1849 3491 48539 150113 2087177 6454859 89748611 169449649 7286334907 313312401001