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233001323003249 is a prime number
BaseRepresentation
bin110100111110100111011001…
…000101101111110101110001
31010112222201010211001121202222
4310332213121011233311301
5221014443202142100444
62143315155144450425
7100035534664426343
oct6476473105576561
91115881124047688
10233001323003249
1168272340559a99
1222171273779a15
13a001c1335b388
144177477895293
151be0d747e2eee
hexd3e9d916fd71

233001323003249 has 2 divisors, whose sum is σ = 233001323003250. Its totient is φ = 233001323003248.

The previous prime is 233001323003227. The next prime is 233001323003261. The reversal of 233001323003249 is 942300323100332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228763900753249 + 4237422250000 = 15124943^2 + 2058500^2 .

It is a cyclic number.

It is not a de Polignac number, because 233001323003249 - 220 = 233001321954673 is a prime.

It is not a weakly prime, because it can be changed into another prime (233001323003219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116500661501624 + 116500661501625.

It is an arithmetic number, because the mean of its divisors is an integer number (116500661501625).

Almost surely, 2233001323003249 is an apocalyptic number.

It is an amenable number.

233001323003249 is a deficient number, since it is larger than the sum of its proper divisors (1).

233001323003249 is an equidigital number, since it uses as much as digits as its factorization.

233001323003249 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 233001323003249 in words is "two hundred thirty-three trillion, one billion, three hundred twenty-three million, three thousand, two hundred forty-nine".