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233023331297 is a prime number
BaseRepresentation
bin1101100100000101000…
…1011101101111100001
3211021110210111201201202
43121001101131233201
512304212433100142
6255014402410545
722556351430551
oct3310121355741
9737423451652
10233023331297
118a908660839
12391b3060a55
1318c87b772b3
14b3c7c87161
1560dc700032
hex364145dbe1

233023331297 has 2 divisors, whose sum is σ = 233023331298. Its totient is φ = 233023331296.

The previous prime is 233023331291. The next prime is 233023331339. The reversal of 233023331297 is 792133320332.

It is a happy number.

233023331297 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., 231947228881 + 1076102416 = 481609^2 + 32804^2 .

It is a cyclic number.

It is not a de Polignac number, because 233023331297 - 28 = 233023331041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233023331297.

It is not a weakly prime, because it can be changed into another prime (233023331291) 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, 116511665648 + 116511665649.

It is an arithmetic number, because the mean of its divisors is an integer number (116511665649).

Almost surely, 2233023331297 is an apocalyptic number.

It is an amenable number.

233023331297 is a deficient number, since it is larger than the sum of its proper divisors (1).

233023331297 is an equidigital number, since it uses as much as digits as its factorization.

233023331297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 38.

The spelling of 233023331297 in words is "two hundred thirty-three billion, twenty-three million, three hundred thirty-one thousand, two hundred ninety-seven".