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12310132131 = 3211732397127
BaseRepresentation
bin10110111011011110…
…11011010110100011
31011202220200111122200
423131233123112203
5200202343212011
65353304504243
7614025253023
oct133557332643
934686614580
1012310132131
115247826520
12247677b083
13121249c36b
1484acaba83
154c0ad1856
hex2ddbdb5a3

12310132131 has 48 divisors (see below), whose sum is σ = 19748551680. Its totient is φ = 7326668160.

The previous prime is 12310132117. The next prime is 12310132171. The reversal of 12310132131 is 13123101321.

12310132131 is a `hidden beast` number, since 1 + 2 + 310 + 1 + 321 + 31 = 666.

It is not a de Polignac number, because 12310132131 - 29 = 12310131619 is a prime.

It is a super-2 number, since 2×123101321312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12310132111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1723690 + ... + 1730816.

It is an arithmetic number, because the mean of its divisors is an integer number (411428160).

Almost surely, 212310132131 is an apocalyptic number.

12310132131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12310132131 is a deficient number, since it is larger than the sum of its proper divisors (7438419549).

12310132131 is a wasteful number, since it uses less digits than its factorization.

12310132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456 (or 7453 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12310132131 its reverse (13123101321), we get a palindrome (25433233452).

It can be divided in two parts, 12310 and 132131, that added together give a palindrome (144441).

The spelling of 12310132131 in words is "twelve billion, three hundred ten million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 73 99 219 239 657 717 803 2151 2409 2629 7127 7227 7887 17447 21381 23661 52341 64143 78397 157023 191917 235191 520271 575751 705573 1560813 1703353 1727253 4682439 5110059 5722981 15330177 17168943 18736883 51506829 56210649 124344769 168631947 373034307 1119102921 1367792459 4103377377 12310132131