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12223221313333 is a prime number
BaseRepresentation
bin1011000111011111000011…
…0000111010111100110101
31121021112021022100201200211
42301313300300322330311
53100231124124011313
641555134221305421
72401045550612332
oct261676060727465
947245238321624
1012223221313333
113992925855448
121454b38105271
136a884c8a8344
1430386db1b989
15162e49d1de3d
hexb1df0c3af35

12223221313333 has 2 divisors, whose sum is σ = 12223221313334. Its totient is φ = 12223221313332.

The previous prime is 12223221313291. The next prime is 12223221313339. The reversal of 12223221313333 is 33331312232221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12122499500644 + 100721812689 = 3481738^2 + 317367^2 .

It is a cyclic number.

It is not a de Polignac number, because 12223221313333 - 229 = 12222684442421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12223221313295 and 12223221313304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12223221313339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111610656666 + 6111610656667.

It is an arithmetic number, because the mean of its divisors is an integer number (6111610656667).

Almost surely, 212223221313333 is an apocalyptic number.

It is an amenable number.

12223221313333 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223221313333 is an equidigital number, since it uses as much as digits as its factorization.

12223221313333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 31.

Adding to 12223221313333 its reverse (33331312232221), we get a palindrome (45554533545554).

The spelling of 12223221313333 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred thirty-three".