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12429131 = 1113233779
BaseRepresentation
bin101111011010…
…011101001011
3212101110120012
4233122131023
511140213011
61122222135
7210434351
oct57323513
925343505
1012429131
11701a210
1241b494b
132762420
1419177d1
151157a8b
hexbda74b

12429131 has 16 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 9973920.

The previous prime is 12429127. The next prime is 12429143. The reversal of 12429131 is 13192421.

It is not a de Polignac number, because 12429131 - 22 = 12429127 is a prime.

It is a super-2 number, since 2×124291312 = 308966594830322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12429097 and 12429106.

It is not an unprimeable number, because it can be changed into a prime (12429121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400 + ... + 5178.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 212429131 is an apocalyptic number.

12429131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12429131 is a deficient number, since it is larger than the sum of its proper divisors (2811829).

12429131 is a wasteful number, since it uses less digits than its factorization.

12429131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826.

The product of its digits is 432, while the sum is 23.

The square root of 12429131 is about 3525.4972698897. The cubic root of 12429131 is about 231.6400171773.

The spelling of 12429131 in words is "twelve million, four hundred twenty-nine thousand, one hundred thirty-one".

Divisors: 1 11 13 23 143 253 299 3289 3779 41569 49127 86917 540397 956087 1129921 12429131