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2133021809 is a prime number
BaseRepresentation
bin111111100100011…
…0101010001110001
312111122122201211202
41333020311101301
513332023144214
6551354020545
7103600246322
oct17710652161
95448581752
102133021809
119a5042946
124b6417755
1327cbb03a9
14163404449
15c73db6de
hex7f235471

2133021809 has 2 divisors, whose sum is σ = 2133021810. Its totient is φ = 2133021808.

The previous prime is 2133021797. The next prime is 2133021811. The reversal of 2133021809 is 9081203312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1426950625 + 706071184 = 37775^2 + 26572^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133021809 - 224 = 2116244593 is a prime.

It is a super-3 number, since 3×21330218093 (a number of 29 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 2133021811, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2133021889) 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, 1066510904 + 1066510905.

It is an arithmetic number, because the mean of its divisors is an integer number (1066510905).

Almost surely, 22133021809 is an apocalyptic number.

It is an amenable number.

2133021809 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133021809 is an equidigital number, since it uses as much as digits as its factorization.

2133021809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 2133021809 is about 46184.6490622155. The cubic root of 2133021809 is about 1287.2565152912.

The spelling of 2133021809 in words is "two billion, one hundred thirty-three million, twenty-one thousand, eight hundred nine".