Search a number
-
+
13320334313 = 1113192258031
BaseRepresentation
bin11000110011111010…
…00010101111101001
31021101022120002112022
430121331002233221
5204240001144223
610041432554225
7651042654626
oct143175025751
937338502468
1013320334313
115715a88360
1226b8b52975
13134386c130
1490511334d
1552e62aac8
hex319f42be9

13320334313 has 24 divisors (see below), whose sum is σ = 16516112256. Its totient is φ = 10589551200.

The previous prime is 13320334297. The next prime is 13320334337. The reversal of 13320334313 is 31343302331.

It is not a de Polignac number, because 13320334313 - 24 = 13320334297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13320334213) 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 in 23 ways as a sum of consecutive naturals, for example, 77393 + ... + 180638.

It is an arithmetic number, because the mean of its divisors is an integer number (688171344).

Almost surely, 213320334313 is an apocalyptic number.

13320334313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13320334313 is a deficient number, since it is larger than the sum of its proper divisors (3195777943).

13320334313 is a wasteful number, since it uses less digits than its factorization.

13320334313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258093 (or 258074 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 13320334313 its reverse (31343302331), we get a palindrome (44663636644).

The spelling of 13320334313 in words is "thirteen billion, three hundred twenty million, three hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 11 13 19 143 209 247 361 2717 3971 4693 51623 258031 2838341 3354403 4902589 36898433 53928479 63733657 93149191 701070227 1024641101 1210939483 13320334313