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2033132009 is a prime number
BaseRepresentation
bin111100100101111…
…0010000111101001
312020200200210210112
41321023302013221
513130440211014
6533425024105
7101245223366
oct17113620751
95220623715
102033132009
11953717197
12488a85035
132652a7abc
1415404146d
15bd75973e
hex792f21e9

2033132009 has 2 divisors, whose sum is σ = 2033132010. Its totient is φ = 2033132008.

The previous prime is 2033131967. The next prime is 2033132021. The reversal of 2033132009 is 9002313302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1796064400 + 237067609 = 42380^2 + 15397^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033132009 - 216 = 2033066473 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2033132039) 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 as a sum of consecutive naturals, namely, 1016566004 + 1016566005.

It is an arithmetic number, because the mean of its divisors is an integer number (1016566005).

Almost surely, 22033132009 is an apocalyptic number.

It is an amenable number.

2033132009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033132009 is an equidigital number, since it uses as much as digits as its factorization.

2033132009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 2033132009 is about 45090.2651245255. The cubic root of 2033132009 is about 1266.8402673960.

The spelling of 2033132009 in words is "two billion, thirty-three million, one hundred thirty-two thousand, nine".