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12310033 is a prime number
BaseRepresentation
bin101110111101…
…011000010001
3212011102012011
4232331120101
511122410113
61115502521
7206430211
oct56753021
925142164
1012310033
116a4878a
124157a41
132720158
1418c6241
15113263d
hexbbd611

12310033 has 2 divisors, whose sum is σ = 12310034. Its totient is φ = 12310032.

The previous prime is 12310031. The next prime is 12310073. The reversal of 12310033 is 33001321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12306064 + 3969 = 3508^2 + 63^2 .

It is an emirp because it is prime and its reverse (33001321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12310033 - 21 = 12310031 is a prime.

It is a super-2 number, since 2×123100332 = 303073824922178, which contains 22 as substring.

Together with 12310031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12309995 and 12310022.

It is not a weakly prime, because it can be changed into another prime (12310031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6155016 + 6155017.

It is an arithmetic number, because the mean of its divisors is an integer number (6155017).

Almost surely, 212310033 is an apocalyptic number.

It is an amenable number.

12310033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12310033 is an equidigital number, since it uses as much as digits as its factorization.

12310033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 12310033 is about 3508.5656613494. The cubic root of 12310033 is about 230.8977702728.

Adding to 12310033 its reverse (33001321), we get a palindrome (45311354).

The spelling of 12310033 in words is "twelve million, three hundred ten thousand, thirty-three".