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12303993 = 3133110177
BaseRepresentation
bin101110111011…
…111001111001
3212011002220110
4232323321321
511122211433
61115414533
7206403462
oct56737171
925132813
1012303993
116a44199
124154449
13271a490
1418c3d69
151130963
hexbbbe79

12303993 has 16 divisors (see below), whose sum is σ = 18238976. Its totient is φ = 7326720.

The previous prime is 12303979. The next prime is 12303997. The reversal of 12303993 is 39930321.

12303993 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12303993 - 25 = 12303961 is a prime.

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 12303993.

It is not an unprimeable number, because it can be changed into a prime (12303997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3880 + ... + 6297.

It is an arithmetic number, because the mean of its divisors is an integer number (1139936).

Almost surely, 212303993 is an apocalyptic number.

12303993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12303993 is a deficient number, since it is larger than the sum of its proper divisors (5934983).

12303993 is a wasteful number, since it uses less digits than its factorization.

12303993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 12303993 is about 3507.7048051397. The cubic root of 12303993 is about 230.8600002498.

The spelling of 12303993 in words is "twelve million, three hundred three thousand, nine hundred ninety-three".

Divisors: 1 3 13 31 39 93 403 1209 10177 30531 132301 315487 396903 946461 4101331 12303993