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232112332000033 is a prime number
BaseRepresentation
bin110100110001101011011101…
…000110001100101100100001
31010102211201111111122112001021
4310301223131012030230201
5220410412023443000113
62141354533330205441
766614363652532342
oct6461533506145441
91112751444575037
10232112332000033
1167a5a318292451
1222048b12423881
139c69139629964
1441464226420c9
151bc7b93a3148d
hexd31add18cb21

232112332000033 has 2 divisors, whose sum is σ = 232112332000034. Its totient is φ = 232112332000032.

The previous prime is 232112331999971. The next prime is 232112332000039. The reversal of 232112332000033 is 330000233211232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207434656318464 + 24677675681569 = 14402592^2 + 4967663^2 .

It is a cyclic number.

It is not a de Polignac number, because 232112332000033 - 29 = 232112331999521 is a prime.

It is a super-2 number, since 2×2321123320000332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232112331999971 and 232112332000007.

It is not a weakly prime, because it can be changed into another prime (232112332000039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116056166000016 + 116056166000017.

It is an arithmetic number, because the mean of its divisors is an integer number (116056166000017).

Almost surely, 2232112332000033 is an apocalyptic number.

It is an amenable number.

232112332000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

232112332000033 is an equidigital number, since it uses as much as digits as its factorization.

232112332000033 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 25.

Adding to 232112332000033 its reverse (330000233211232), we get a palindrome (562112565211265).

The spelling of 232112332000033 in words is "two hundred thirty-two trillion, one hundred twelve billion, three hundred thirty-two million, thirty-three", and thus it is an aban number.