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12131031 = 3114383103
BaseRepresentation
bin101110010001…
…101011010111
3211211022122110
4232101223113
511101143111
61112002103
7205053303
oct56215327
924738573
1012131031
116936250
124090333
132689833
14187ad03
1510e95a6
hexb91ad7

12131031 has 32 divisors (see below), whose sum is σ = 18450432. Its totient is φ = 7025760.

The previous prime is 12131027. The next prime is 12131057. The reversal of 12131031 is 13013121.

It is not a de Polignac number, because 12131031 - 22 = 12131027 is a prime.

It is a super-2 number, since 2×121310312 = 294323826245922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12130998 and 12131016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131071) 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, 117726 + ... + 117828.

It is an arithmetic number, because the mean of its divisors is an integer number (576576).

Almost surely, 212131031 is an apocalyptic number.

12131031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12131031 is a deficient number, since it is larger than the sum of its proper divisors (6319401).

12131031 is a wasteful number, since it uses less digits than its factorization.

12131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 12131031 is about 3482.9629627660. The cubic root of 12131031 is about 229.7731285250.

Adding to 12131031 its reverse (13013121), we get a palindrome (25144152).

The spelling of 12131031 in words is "twelve million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 11 33 43 83 103 129 249 309 473 913 1133 1419 2739 3399 3569 4429 8549 10707 13287 25647 39259 48719 94039 117777 146157 282117 367607 1102821 4043677 12131031