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12132033033131 = 1121031138614549
BaseRepresentation
bin1011000010001011010110…
…0001001111001110101011
31120221210220020112010120122
42300202311201033032223
53042232400424030011
641445213512113455
72361340042202114
oct260426541171653
946853806463518
1012132033033131
113958191402900
12143b32939588b
136a00798361ab
142dd29d0a120b
151608ae4be3db
hexb08b584f3ab

12132033033131 has 24 divisors (see below), whose sum is σ = 13583835938400. Its totient is φ = 10825385598720.

The previous prime is 12132033033121. The next prime is 12132033033161. The reversal of 12132033033131 is 13133033023121.

12132033033131 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 12132033033131 - 26 = 12132033033067 is a prime.

It is a super-2 number, since 2×121320330331312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12132033033131.

It is not an unprimeable number, because it can be changed into a prime (12132033033121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2898956 + ... + 5715593.

It is an arithmetic number, because the mean of its divisors is an integer number (565993164100).

Almost surely, 212132033033131 is an apocalyptic number.

12132033033131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12132033033131 is a deficient number, since it is larger than the sum of its proper divisors (1451802905269).

12132033033131 is a wasteful number, since it uses less digits than its factorization.

12132033033131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8614787 (or 8614776 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 12132033033131 its reverse (13133033023121), we get a palindrome (25265066056252).

The spelling of 12132033033131 in words is "twelve trillion, one hundred thirty-two billion, thirty-three million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 11 103 113 121 1133 1243 11639 12463 13673 128029 1408319 8614549 94760039 887298547 973444037 1042360429 9760284017 10707884407 100264735811 107363124187 117786728477 1102912093921 12132033033131