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12286033 is a prime number
BaseRepresentation
bin101110110111…
…100001010001
3212010012021021
4232313201101
511121123113
61115155441
7206300224
oct56674121
925105237
1012286033
116a31751
124145b81
132712256
1418bb5bb
15112a48d
hexbb7851

12286033 has 2 divisors, whose sum is σ = 12286034. Its totient is φ = 12286032.

The previous prime is 12285997. The next prime is 12286039. The reversal of 12286033 is 33068221.

12286033 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10705984 + 1580049 = 3272^2 + 1257^2 .

It is an emirp because it is prime and its reverse (33068221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12286033 - 29 = 12285521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12285989 and 12286007.

It is not a weakly prime, because it can be changed into another prime (12286039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6143016 + 6143017.

It is an arithmetic number, because the mean of its divisors is an integer number (6143017).

Almost surely, 212286033 is an apocalyptic number.

It is an amenable number.

12286033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12286033 is an equidigital number, since it uses as much as digits as its factorization.

12286033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 12286033 is about 3505.1437916297. The cubic root of 12286033 is about 230.7476176368.

The spelling of 12286033 in words is "twelve million, two hundred eighty-six thousand, thirty-three".