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12233303210033 is a prime number
BaseRepresentation
bin1011001000000100100110…
…1100010011100000110001
31121022111021221020010222022
42302001021230103200301
53100412301110210113
642003522451321225
72401553441410223
oct262011154234061
947274257203868
1012233303210033
113997129816684
121456a905b0215
136a979853b2a9
14304148abc413
15163339ea7908
hexb2049b13831

12233303210033 has 2 divisors, whose sum is σ = 12233303210034. Its totient is φ = 12233303210032.

The previous prime is 12233303209997. The next prime is 12233303210069. The reversal of 12233303210033 is 33001230333221.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (12233303209997) and next prime (12233303210069).

It can be written as a sum of positive squares in only one way, i.e., 6211300093504 + 6022003116529 = 2492248^2 + 2453977^2 .

It is an emirp because it is prime and its reverse (33001230333221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12233303210033 - 210 = 12233303209009 is a prime.

It is a super-2 number, since 2×122333032100332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12233303209984 and 12233303210011.

It is not a weakly prime, because it can be changed into another prime (12233303210333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6116651605016 + 6116651605017.

It is an arithmetic number, because the mean of its divisors is an integer number (6116651605017).

Almost surely, 212233303210033 is an apocalyptic number.

It is an amenable number.

12233303210033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233303210033 is an equidigital number, since it uses as much as digits as its factorization.

12233303210033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 12233303210033 its reverse (33001230333221), we get a palindrome (45234533543254).

The spelling of 12233303210033 in words is "twelve trillion, two hundred thirty-three billion, three hundred three million, two hundred ten thousand, thirty-three".