Search a number
-
+
13235013 = 3211433109
BaseRepresentation
bin110010011111…
…001101000101
3220220102000200
4302133031011
511342010023
61151401113
7220332021
oct62371505
926812020
1013235013
11751a730
124523199
13298518c
141a87381
151266743
hexc9f345

13235013 has 24 divisors (see below), whose sum is σ = 21347040. Its totient is φ = 7832160.

The previous prime is 13235009. The next prime is 13235017. The reversal of 13235013 is 31053231.

It is an interprime number because it is at equal distance from previous prime (13235009) and next prime (13235017).

It is not a de Polignac number, because 13235013 - 22 = 13235009 is a prime.

It is a super-2 number, since 2×132350132 = 350331138220338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13235017) 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 23 ways as a sum of consecutive naturals, for example, 2703 + ... + 5811.

It is an arithmetic number, because the mean of its divisors is an integer number (889460).

Almost surely, 213235013 is an apocalyptic number.

It is an amenable number.

13235013 is a deficient number, since it is larger than the sum of its proper divisors (8112027).

13235013 is a wasteful number, since it uses less digits than its factorization.

13235013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13235013 is about 3637.9957394148. The cubic root of 13235013 is about 236.5419235052.

Adding to 13235013 its reverse (31053231), we get a palindrome (44288244).

It can be divided in two parts, 1323 and 5013, that added together give a palindrome (6336).

The spelling of 13235013 in words is "thirteen million, two hundred thirty-five thousand, thirteen".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 3109 4257 9327 27981 34199 102597 133687 307791 401061 1203183 1470557 4411671 13235013