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233023334129 is a prime number
BaseRepresentation
bin1101100100000101000…
…1011110011011110001
3211021110210111212121122
43121001101132123301
512304212433143004
6255014402432025
722556351442035
oct3310121363361
9737423455548
10233023334129
118a908662983
12391b3062615
1318c87b78681
14b3c7c881c5
1560dc700cbe
hex364145e6f1

233023334129 has 2 divisors, whose sum is σ = 233023334130. Its totient is φ = 233023334128.

The previous prime is 233023334069. The next prime is 233023334147. The reversal of 233023334129 is 921433320332.

233023334129 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., 165017125729 + 68006208400 = 406223^2 + 260780^2 .

It is a cyclic number.

It is not a de Polignac number, because 233023334129 - 220 = 233022285553 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (233023334149) 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, 116511667064 + 116511667065.

It is an arithmetic number, because the mean of its divisors is an integer number (116511667065).

Almost surely, 2233023334129 is an apocalyptic number.

It is an amenable number.

233023334129 is a deficient number, since it is larger than the sum of its proper divisors (1).

233023334129 is an equidigital number, since it uses as much as digits as its factorization.

233023334129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 35.

The spelling of 233023334129 in words is "two hundred thirty-three billion, twenty-three million, three hundred thirty-four thousand, one hundred twenty-nine".