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12132130031 = 74216596247
BaseRepresentation
bin10110100110010000…
…11001110011101111
31011022111202001200022
423103020121303233
5144321311130111
65323505352355
7606434255330
oct132310316357
934274661608
1012132130031
1151662a894a
1224270386bb
1311b4647988
148313b4287
154b01702db
hex2d3219cef

12132130031 has 16 divisors (see below), whose sum is σ = 13921543680. Its totient is φ = 10356867360.

The previous prime is 12132130027. The next prime is 12132130033. The reversal of 12132130031 is 13003123121.

It is not a de Polignac number, because 12132130031 - 22 = 12132130027 is a prime.

It is a super-2 number, since 2×121321300312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12132129991 and 12132130009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132130033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1938950 + ... + 1945196.

It is an arithmetic number, because the mean of its divisors is an integer number (870096480).

Almost surely, 212132130031 is an apocalyptic number.

12132130031 is a deficient number, since it is larger than the sum of its proper divisors (1789413649).

12132130031 is an equidigital number, since it uses as much as digits as its factorization.

12132130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12132130031 its reverse (13003123121), we get a palindrome (25135253152).

The spelling of 12132130031 in words is "twelve billion, one hundred thirty-two million, one hundred thirty thousand, thirty-one".

Divisors: 1 7 421 659 2947 4613 6247 43729 277439 1942073 2629987 4116773 18409909 28817411 1733161433 12132130031