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233936304137 is a prime number
BaseRepresentation
bin1101100111011110110…
…0001011100000001001
3211100211102102120000122
43121313230023200021
512313100143213022
6255245134513025
722621105530134
oct3316754134011
9740742376018
10233936304137
1190236a43848
1239408965775
13190a2063703
14b47321d21b
156142940742
hex3677b0b809

233936304137 has 2 divisors, whose sum is σ = 233936304138. Its totient is φ = 233936304136.

The previous prime is 233936304127. The next prime is 233936304221. The reversal of 233936304137 is 731403639332.

233936304137 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., 193691530816 + 40244773321 = 440104^2 + 200611^2 .

It is a cyclic number.

It is not a de Polignac number, because 233936304137 - 218 = 233936041993 is a prime.

It is not a weakly prime, because it can be changed into another prime (233936304127) 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, 116968152068 + 116968152069.

It is an arithmetic number, because the mean of its divisors is an integer number (116968152069).

Almost surely, 2233936304137 is an apocalyptic number.

It is an amenable number.

233936304137 is a deficient number, since it is larger than the sum of its proper divisors (1).

233936304137 is an equidigital number, since it uses as much as digits as its factorization.

233936304137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 734832, while the sum is 44.

The spelling of 233936304137 in words is "two hundred thirty-three billion, nine hundred thirty-six million, three hundred four thousand, one hundred thirty-seven".