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12135542913 = 32132915492309
BaseRepresentation
bin10110100110101010…
…11011000010000001
31011022202011110021100
423103111123002001
5144323144333123
65324110445013
7606505261404
oct132325330201
934282143240
1012135542913
11516821a00a
122428203769
1311b5271230
14831a21d3b
154b05e6643
hex2d355b081

12135542913 has 48 divisors (see below), whose sum is σ = 19549530000. Its totient is φ = 7202732544.

The previous prime is 12135542899. The next prime is 12135542921. The reversal of 12135542913 is 31924553121.

It is a happy number.

12135542913 is a `hidden beast` number, since 1 + 2 + 13 + 554 + 2 + 91 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 82137969 + 12053404944 = 9063^2 + 109788^2 .

It is not a de Polignac number, because 12135542913 - 24 = 12135542897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12135542983) 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, 5254603 + ... + 5256911.

It is an arithmetic number, because the mean of its divisors is an integer number (407281875).

Almost surely, 212135542913 is an apocalyptic number.

12135542913 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12135542913 is a deficient number, since it is larger than the sum of its proper divisors (7413987087).

12135542913 is a wasteful number, since it uses less digits than its factorization.

12135542913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3903 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 12135542913 in words is "twelve billion, one hundred thirty-five million, five hundred forty-two thousand, nine hundred thirteen".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 1549 2309 3393 4647 6927 13941 20137 20781 30017 44921 60411 66961 90051 134763 181233 200883 270153 404289 583973 602649 870493 1751919 2611479 3576641 5255757 7834437 10729923 32189769 46496333 103722589 139488999 311167767 418466997 933503301 1348393657 4045180971 12135542913