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233183032993 is a prime number
BaseRepresentation
bin1101100100101011001…
…0101011011010100001
3211021212221000102021101
43121022302223122201
512310024324023433
6255042305354401
722563331035301
oct3311262533241
9737787012241
10233183032993
118a98a81a009
1239238638a01
1318cb1c92041
14b401179601
1560eb74907d
hex364acab6a1

233183032993 has 2 divisors, whose sum is σ = 233183032994. Its totient is φ = 233183032992.

The previous prime is 233183032991. The next prime is 233183033011. The reversal of 233183032993 is 399230381332.

It is a happy number.

233183032993 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., 203313515409 + 29869517584 = 450903^2 + 172828^2 .

It is a cyclic number.

It is not a de Polignac number, because 233183032993 - 21 = 233183032991 is a prime.

Together with 233183032991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (233183032991) 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, 116591516496 + 116591516497.

It is an arithmetic number, because the mean of its divisors is an integer number (116591516497).

Almost surely, 2233183032993 is an apocalyptic number.

It is an amenable number.

233183032993 is a deficient number, since it is larger than the sum of its proper divisors (1).

233183032993 is an equidigital number, since it uses as much as digits as its factorization.

233183032993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 629856, while the sum is 46.

The spelling of 233183032993 in words is "two hundred thirty-three billion, one hundred eighty-three million, thirty-two thousand, nine hundred ninety-three".