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13353197 = 112132653
BaseRepresentation
bin110010111100…
…000011101101
3221010102010212
4302330003231
511404300242
61154112205
7221333414
oct62740355
927112125
1013353197
1175a0500
12457b665
1329c6c00
141ab847b
15128b782
hexcbc0ed

13353197 has 18 divisors (see below), whose sum is σ = 15917706. Its totient is φ = 11188320.

The previous prime is 13353173. The next prime is 13353209. The reversal of 13353197 is 79135331.

13353197 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 256036 + 13097161 = 506^2 + 3619^2 .

It is a de Polignac number, because none of the positive numbers 2k-13353197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13353107) 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 17 ways as a sum of consecutive naturals, for example, 20123 + ... + 20775.

It is an arithmetic number, because the mean of its divisors is an integer number (884317).

Almost surely, 213353197 is an apocalyptic number.

It is an amenable number.

13353197 is a deficient number, since it is larger than the sum of its proper divisors (2564509).

13353197 is a wasteful number, since it uses less digits than its factorization.

13353197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 677 counting only the distinct ones).

The product of its digits is 8505, while the sum is 32.

The square root of 13353197 is about 3654.2026490057. The cubic root of 13353197 is about 237.2439167765.

The spelling of 13353197 in words is "thirteen million, three hundred fifty-three thousand, one hundred ninety-seven".

Divisors: 1 11 13 121 143 169 653 1573 1859 7183 8489 20449 79013 93379 110357 1027169 1213927 13353197