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233042000333 is a prime number
BaseRepresentation
bin1101100100001001100…
…0101011100111001101
3211021112002122012211112
43121002120223213031
512304232223002313
6255020310501405
722556666214332
oct3310230534715
9737462565745
10233042000333
118a91815209a
12391b9364865
1318c8b9b296c
14b3ca546989
1560de18b8a8
hex364262b9cd

233042000333 has 2 divisors, whose sum is σ = 233042000334. Its totient is φ = 233042000332.

The previous prime is 233042000299. The next prime is 233042000339. The reversal of 233042000333 is 333000240332.

233042000333 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., 209981148169 + 23060852164 = 458237^2 + 151858^2 .

It is a cyclic number.

It is not a de Polignac number, because 233042000333 - 236 = 164322523597 is a prime.

It is a super-2 number, since 2×2330420003332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233042000299 and 233042000308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233042000339) 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, 116521000166 + 116521000167.

It is an arithmetic number, because the mean of its divisors is an integer number (116521000167).

Almost surely, 2233042000333 is an apocalyptic number.

It is an amenable number.

233042000333 is a deficient number, since it is larger than the sum of its proper divisors (1).

233042000333 is an equidigital number, since it uses as much as digits as its factorization.

233042000333 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 23.

Adding to 233042000333 its reverse (333000240332), we get a palindrome (566042240665).

The spelling of 233042000333 in words is "two hundred thirty-three billion, forty-two million, three hundred thirty-three", and thus it is an aban number.