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13030369 = 112113953
BaseRepresentation
bin110001101101…
…001111100001
3220112000022021
4301231033201
511313432434
61143141441
7215520262
oct61551741
926460267
1013030369
11739aa00
124444881
132912ca1
141a32969
151225cb4
hexc6d3e1

13030369 has 12 divisors (see below), whose sum is σ = 14464548. Its totient is φ = 11728640.

The previous prime is 13030363. The next prime is 13030373. The reversal of 13030369 is 96303031.

It can be written as a sum of positive squares in 2 ways, for example, as 2140369 + 10890000 = 1463^2 + 3300^2 .

It is not a de Polignac number, because 13030369 - 221 = 10933217 is a prime.

It is a super-2 number, since 2×130303692 = 339581032552322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13030363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13197 + ... + 14149.

It is an arithmetic number, because the mean of its divisors is an integer number (1205379).

Almost surely, 213030369 is an apocalyptic number.

It is an amenable number.

13030369 is a deficient number, since it is larger than the sum of its proper divisors (1434179).

13030369 is a wasteful number, since it uses less digits than its factorization.

13030369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

The square root of 13030369 is about 3609.7602413457. The cubic root of 13030369 is about 235.3164230043.

The spelling of 13030369 in words is "thirteen million, thirty thousand, three hundred sixty-nine".

Divisors: 1 11 113 121 953 1243 10483 13673 107689 115313 1184579 13030369