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12211102217 is a prime number
BaseRepresentation
bin10110101111101011…
…01010001000001001
31011112000100021011002
423113311222020021
5200002020232332
65335410144345
7611413441046
oct132765521011
934460307132
1012211102217
1151a6937916
1224495820b5
1311c7b08292
1483ba901cd
154b706e562
hex2d7d6a209

12211102217 has 2 divisors, whose sum is σ = 12211102218. Its totient is φ = 12211102216.

The previous prime is 12211102199. The next prime is 12211102237. The reversal of 12211102217 is 71220111221.

It is a happy number.

12211102217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (12211102237) can be obtained adding 12211102217 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8056139536 + 4154962681 = 89756^2 + 64459^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211102217 is a prime.

It is a super-2 number, since 2×122111022172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211102237) 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, 6105551108 + 6105551109.

It is an arithmetic number, because the mean of its divisors is an integer number (6105551109).

Almost surely, 212211102217 is an apocalyptic number.

It is an amenable number.

12211102217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211102217 is an equidigital number, since it uses as much as digits as its factorization.

12211102217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 12211102217 its reverse (71220111221), we get a palindrome (83431213438).

The spelling of 12211102217 in words is "twelve billion, two hundred eleven million, one hundred two thousand, two hundred seventeen".