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12211122317 is a prime number
BaseRepresentation
bin10110101111101011…
…01111000010001101
31011112000101021201112
423113311233002031
5200002021403232
65335410421405
7611413553462
oct132765570215
934460337645
1012211122317
1151a6950a29
122449591865
1311c7b14484
1483ba97669
154b70754b2
hex2d7d6f08d

12211122317 has 2 divisors, whose sum is σ = 12211122318. Its totient is φ = 12211122316.

The previous prime is 12211122299. The next prime is 12211122347. The reversal of 12211122317 is 71322111221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11749259236 + 461863081 = 108394^2 + 21491^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211122317 is a prime.

It is a super-2 number, since 2×122111223172 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211122292 and 12211122301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211122347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105561158 + 6105561159.

It is an arithmetic number, because the mean of its divisors is an integer number (6105561159).

Almost surely, 212211122317 is an apocalyptic number.

It is an amenable number.

12211122317 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211122317 is an equidigital number, since it uses as much as digits as its factorization.

12211122317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 336, while the sum is 23.

Adding to 12211122317 its reverse (71322111221), we get a palindrome (83533233538).

The spelling of 12211122317 in words is "twelve billion, two hundred eleven million, one hundred twenty-two thousand, three hundred seventeen".