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233123122009 is a prime number
BaseRepresentation
bin1101100100011100111…
…0001000101101011001
3211021201202021121212001
43121013032020231121
512304414004401014
6255032325321001
722562002561561
oct3310716105531
9737652247761
10233123122009
118a959a19aa8
1239220566161
1318ca274675b
14b3d7221da1
1560e6362974
hex3647388b59

233123122009 has 2 divisors, whose sum is σ = 233123122010. Its totient is φ = 233123122008.

The previous prime is 233123121997. The next prime is 233123122031. The reversal of 233123122009 is 900221321332.

233123122009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 232712654409 + 410467600 = 482403^2 + 20260^2 .

It is a cyclic number.

It is not a de Polignac number, because 233123122009 - 211 = 233123119961 is a prime.

It is not a weakly prime, because it can be changed into another prime (233123122079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116561561004 + 116561561005.

It is an arithmetic number, because the mean of its divisors is an integer number (116561561005).

Almost surely, 2233123122009 is an apocalyptic number.

It is an amenable number.

233123122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

233123122009 is an equidigital number, since it uses as much as digits as its factorization.

233123122009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 233123122009 in words is "two hundred thirty-three billion, one hundred twenty-three million, one hundred twenty-two thousand, nine".