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233321144093 is a prime number
BaseRepresentation
bin1101100101001100000…
…1100001111100011101
3211022020112220012002022
43121103001201330131
512310320203102333
6255104121505525
722566626000462
oct3312301417435
9738215805068
10233321144093
118aa50780a14
12392769422a5
131900478a69b
14b41564b669
15610892ac98
hex3653061f1d

233321144093 has 2 divisors, whose sum is σ = 233321144094. Its totient is φ = 233321144092.

The previous prime is 233321144081. The next prime is 233321144099. The reversal of 233321144093 is 390441123332.

233321144093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130637427844 + 102683716249 = 361438^2 + 320443^2 .

It is a cyclic number.

It is not a de Polignac number, because 233321144093 - 26 = 233321144029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233321144099) 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, 116660572046 + 116660572047.

It is an arithmetic number, because the mean of its divisors is an integer number (116660572047).

Almost surely, 2233321144093 is an apocalyptic number.

It is an amenable number.

233321144093 is a deficient number, since it is larger than the sum of its proper divisors (1).

233321144093 is an equidigital number, since it uses as much as digits as its factorization.

233321144093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 233321144093 in words is "two hundred thirty-three billion, three hundred twenty-one million, one hundred forty-four thousand, ninety-three".