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13244231 = 71113101131
BaseRepresentation
bin110010100001…
…011101000111
3220220212200002
4302201131013
511342303411
61151511515
7220400630
oct62413507
926825602
1013244231
117526650
12452859b
132989430
141a8a887
15126933b
hexca1747

13244231 has 32 divisors (see below), whose sum is σ = 18095616. Its totient is φ = 9360000.

The previous prime is 13244219. The next prime is 13244233.

13244231 is nontrivially palindromic in base 10.

13244231 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13244231 - 26 = 13244167 is a prime.

It is a super-2 number, since 2×132442312 = 350819309562722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

13244231 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13244233) 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, 101036 + ... + 101166.

It is an arithmetic number, because the mean of its divisors is an integer number (565488).

Almost surely, 213244231 is an apocalyptic number.

13244231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13244231 is a deficient number, since it is larger than the sum of its proper divisors (4851385).

13244231 is a wasteful number, since it uses less digits than its factorization.

13244231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263.

The product of its digits is 576, while the sum is 20.

The square root of 13244231 is about 3639.2624252725. The cubic root of 13244231 is about 236.5968267992.

It can be divided in two parts, 1324 and 4231, that added together give a palindrome (5555).

The spelling of 13244231 in words is "thirteen million, two hundred forty-four thousand, two hundred thirty-one".

Divisors: 1 7 11 13 77 91 101 131 143 707 917 1001 1111 1313 1441 1703 7777 9191 10087 11921 13231 14443 18733 92617 101101 131131 145541 172003 1018787 1204021 1892033 13244231