Search a number
-
+
313115511313 = 111729400114431
BaseRepresentation
bin1001000111001110010…
…00111000101000010001
31002221012120002000221101
410203213020320220101
520112230032330223
6355502052024401
731423202634553
oct4434710705021
91087176060841
10313115511313
111108785a8050
1250825902101
13236b01153a7
1411224d794d3
158228d2b4ad
hex48e7238a11

313115511313 has 32 divisors (see below), whose sum is σ = 374264478720. Its totient is φ = 258585600000.

The previous prime is 313115511299. The next prime is 313115511341.

313115511313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313115511313 - 25 = 313115511281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313115511343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21690208 + ... + 21704638.

It is an arithmetic number, because the mean of its divisors is an integer number (11695764960).

Almost surely, 2313115511313 is an apocalyptic number.

It is an amenable number.

313115511313 is a deficient number, since it is larger than the sum of its proper divisors (61148967407).

313115511313 is a wasteful number, since it uses less digits than its factorization.

313115511313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18489.

The product of its digits is 2025, while the sum is 28.

It can be divided in two parts, 313115 and 511313, that added together give a palindrome (824428).

The spelling of 313115511313 in words is "three hundred thirteen billion, one hundred fifteen million, five hundred eleven thousand, three hundred thirteen".

Divisors: 1 11 17 29 187 319 493 4001 5423 14431 44011 68017 116029 158741 245327 418499 748187 1276319 1972493 2698597 4603489 7114483 21697423 57738431 78259313 635122741 981553327 1674414499 10797086597 18418559489 28465046483 313115511313