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12002131330131 = 341732834723283
BaseRepresentation
bin1010111010100111011011…
…0001100100010001010011
31120111101121011112220002110
42232221312301210101103
53033120331110031011
641305411503520403
72346061001014665
oct256516661442123
946441534486073
1012002131330131
113908091271768
12141a1155b9103
13690a47129c87
142d6c98aa2535
1515c30a0c5ba6
hexaea76c64453

12002131330131 has 32 divisors (see below), whose sum is σ = 16676442139392. Its totient is φ = 7672121418240.

The previous prime is 12002131329997. The next prime is 12002131330153. The reversal of 12002131330131 is 13103313120021.

It is a happy number.

12002131330131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002131330131 - 214 = 12002131313747 is a prime.

It is a super-2 number, since 2×120021313301312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12002131330098 and 12002131330107.

It is not an unprimeable number, because it can be changed into a prime (12002131330171) 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, 179416 + ... + 4902698.

It is an arithmetic number, because the mean of its divisors is an integer number (521138816856).

Almost surely, 212002131330131 is an apocalyptic number.

12002131330131 is a deficient number, since it is larger than the sum of its proper divisors (4674310809261).

12002131330131 is a wasteful number, since it uses less digits than its factorization.

12002131330131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723683.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12002131330131 its reverse (13103313120021), we get a palindrome (25105444450152).

The spelling of 12002131330131 in words is "twelve trillion, two billion, one hundred thirty-one million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 41 73 123 219 283 849 2993 8979 11603 20659 34809 61977 847019 2541057 4723283 14169849 193654603 344799659 580963809 1034398977 1336689089 4010067267 14136786019 42410358057 54804252649 97578303497 164412757947 292734910491 4000710443377 12002131330131