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12132104130013 = 721995692186627
BaseRepresentation
bin1011000010001011100111…
…0000011100110111011101
31120221211002012022020011111
42300202321300130313131
53042233022124130023
641445224532022021
72361341564414500
oct260427160346735
946854065266144
1012132104130013
113958218552a5a
12143b349161911
136a008b49a05a
142dd2a86cb137
151608b586500d
hexb08b9c1cddd

12132104130013 has 24 divisors (see below), whose sum is σ = 14208708744000. Its totient is φ = 10328501671488.

The previous prime is 12132104129987. The next prime is 12132104130017. The reversal of 12132104130013 is 31003140123121.

It is a de Polignac number, because none of the positive numbers 2k-12132104130013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132104130017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4455006 + ... + 6641632.

It is an arithmetic number, because the mean of its divisors is an integer number (592029531000).

Almost surely, 212132104130013 is an apocalyptic number.

It is an amenable number.

12132104130013 is a deficient number, since it is larger than the sum of its proper divisors (2076604613987).

12132104130013 is a wasteful number, since it uses less digits than its factorization.

12132104130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187409 (or 2187402 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12132104130013 its reverse (31003140123121), we get a palindrome (43135244253134).

The spelling of 12132104130013 in words is "twelve trillion, one hundred thirty-two billion, one hundred four million, one hundred thirty thousand, thirteen".

Divisors: 1 7 49 199 569 1393 3983 9751 27881 113231 792617 2186627 5548319 15306389 107144723 435138773 1244190763 3045971411 8709335341 21321799877 60965347387 247593961837 1733157732859 12132104130013