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233332300133 is a prime number
BaseRepresentation
bin1101100101001110110…
…0000101100101100101
3211022021022212222021222
43121103230011211211
512310331032101013
6255105200550125
722600122553412
oct3312354054545
9738238788258
10233332300133
118aa57000689
123927a622345
1319006b954aa
14b416d13109
1561098d1508
hex3653b05965

233332300133 has 2 divisors, whose sum is σ = 233332300134. Its totient is φ = 233332300132.

The previous prime is 233332300109. The next prime is 233332300169. The reversal of 233332300133 is 331003233332.

233332300133 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., 214066304929 + 19265995204 = 462673^2 + 138802^2 .

It is a cyclic number.

It is not a de Polignac number, because 233332300133 - 28 = 233332299877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233332305133) 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, 116666150066 + 116666150067.

It is an arithmetic number, because the mean of its divisors is an integer number (116666150067).

Almost surely, 2233332300133 is an apocalyptic number.

It is an amenable number.

233332300133 is a deficient number, since it is larger than the sum of its proper divisors (1).

233332300133 is an equidigital number, since it uses as much as digits as its factorization.

233332300133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 233332300133 its reverse (331003233332), we get a palindrome (564335533465).

The spelling of 233332300133 in words is "two hundred thirty-three billion, three hundred thirty-two million, three hundred thousand, one hundred thirty-three".