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233133331021 is a prime number
BaseRepresentation
bin1101100100011111010…
…1000101001001001101
3211021202110111021222121
43121013311011021031
512304424113043041
6255033332212541
722562155421503
oct3310765051115
9737673437877
10233133331021
118a9647621a8
1239223a6a151
1318ca48ac4a6
14b3d871c673
1560e71cc7d1
hex3647d4524d

233133331021 has 2 divisors, whose sum is σ = 233133331022. Its totient is φ = 233133331020.

The previous prime is 233133331019. The next prime is 233133331037. The reversal of 233133331021 is 120133331332.

233133331021 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., 154893409225 + 78239921796 = 393565^2 + 279714^2 .

It is a cyclic number.

It is not a de Polignac number, because 233133331021 - 21 = 233133331019 is a prime.

Together with 233133331019, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233233331021) 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, 116566665510 + 116566665511.

It is an arithmetic number, because the mean of its divisors is an integer number (116566665511).

Almost surely, 2233133331021 is an apocalyptic number.

It is an amenable number.

233133331021 is a deficient number, since it is larger than the sum of its proper divisors (1).

233133331021 is an equidigital number, since it uses as much as digits as its factorization.

233133331021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 233133331021 its reverse (120133331332), we get a palindrome (353266662353).

The spelling of 233133331021 in words is "two hundred thirty-three billion, one hundred thirty-three million, three hundred thirty-one thousand, twenty-one".