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13431 = 311237
BaseRepresentation
bin11010001110111
3200102110
43101313
5412211
6142103
754105
oct32167
920373
1013431
11a100
127933
136162
144c75
153ea6
hex3477

13431 has 12 divisors (see below), whose sum is σ = 20216. Its totient is φ = 7920.

The previous prime is 13421. The next prime is 13441.

13431 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13421) and next prime (13441).

It is not a de Polignac number, because 13431 - 25 = 13399 is a prime.

It is a super-2 number, since 2×134312 = 360783522, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345 + ... + 381.

213431 is an apocalyptic number.

13431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13431 is a deficient number, since it is larger than the sum of its proper divisors (6785).

13431 is a wasteful number, since it uses less digits than its factorization.

13431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 51 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 13431 is about 115.8921912814. The cubic root of 13431 is about 23.7703795528.

It can be divided in two parts, 13 and 431, that added together give a palindrome (444).

The spelling of 13431 in words is "thirteen thousand, four hundred thirty-one".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 13431