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12233133111233 is a prime number
BaseRepresentation
bin1011001000000011111110…
…0011011011011111000001
31121022110212002011020021202
42302000333203123133001
53100411424034024413
642003453533430545
72401546304530316
oct262007743333701
947273762136252
1012233133111233
1139970517a6961
121456a4363b455
136a976c223008
14304130280d0d
1516332a0a7e58
hexb203f8db7c1

12233133111233 has 2 divisors, whose sum is σ = 12233133111234. Its totient is φ = 12233133111232.

The previous prime is 12233133111209. The next prime is 12233133111259. The reversal of 12233133111233 is 33211133133221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11989958873104 + 243174238129 = 3462652^2 + 493127^2 .

It is a cyclic number.

It is not a de Polignac number, because 12233133111233 - 26 = 12233133111169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12233133111196 and 12233133111205.

It is not a weakly prime, because it can be changed into another prime (12233133111263) 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, 6116566555616 + 6116566555617.

It is an arithmetic number, because the mean of its divisors is an integer number (6116566555617).

Almost surely, 212233133111233 is an apocalyptic number.

It is an amenable number.

12233133111233 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233133111233 is an equidigital number, since it uses as much as digits as its factorization.

12233133111233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 29.

Adding to 12233133111233 its reverse (33211133133221), we get a palindrome (45444266244454).

The spelling of 12233133111233 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty-three million, one hundred eleven thousand, two hundred thirty-three".