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12142001000993 = 101139219931267
BaseRepresentation
bin1011000010110000011110…
…1010000001001000100001
31120222202121221000100212112
42300230013222001020201
53042413304224012433
641453542552205105
72362142050422653
oct260540752011041
946882557010775
1012142001000993
113961437029676
12144124b699795
136a0ca79b9726
142dd966c866d3
15160c94651348
hexb0b07a81221

12142001000993 has 24 divisors (see below), whose sum is σ = 12413533579200. Its totient is φ = 11874939357600.

The previous prime is 12142001000903. The next prime is 12142001001001. The reversal of 12142001000993 is 39900010024121.

It is not a de Polignac number, because 12142001000993 - 212 = 12142000996897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12142001000903) 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, 388317146 + ... + 388348412.

It is an arithmetic number, because the mean of its divisors is an integer number (517230565800).

Almost surely, 212142001000993 is an apocalyptic number.

It is an amenable number.

12142001000993 is a deficient number, since it is larger than the sum of its proper divisors (271532578207).

12142001000993 is a wasteful number, since it uses less digits than its factorization.

12142001000993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31845 (or 31706 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 12142001000993 in words is "twelve trillion, one hundred forty-two billion, one million, nine hundred ninety-three", and thus it is an aban number.

Divisors: 1 101 139 199 14039 19321 20099 27661 31267 1951421 2793761 3157967 3844879 4346113 6222133 388332779 438957413 604109707 628435433 864876487 61015080407 87352525187 120217831693 12142001000993