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22121100217 is a prime number
BaseRepresentation
bin10100100110100001…
…010011001110111001
32010002122202022202001
4110212201103032321
5330301000201332
614055015541001
71412116151356
oct244641231671
963078668661
1022121100217
11942186a007
12435438a761
132116c72918
1410dbca562d
158970a00e7
hex5268533b9

22121100217 has 2 divisors, whose sum is σ = 22121100218. Its totient is φ = 22121100216.

The previous prime is 22121100203. The next prime is 22121100223. The reversal of 22121100217 is 71200112122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18446800761 + 3674299456 = 135819^2 + 60616^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22121100217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22121100194 and 22121100203.

It is not a weakly prime, because it can be changed into another prime (22121101217) 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, 11060550108 + 11060550109.

It is an arithmetic number, because the mean of its divisors is an integer number (11060550109).

Almost surely, 222121100217 is an apocalyptic number.

It is an amenable number.

22121100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121100217 is an equidigital number, since it uses as much as digits as its factorization.

22121100217 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 19.

Adding to 22121100217 its reverse (71200112122), we get a palindrome (93321212339).

The spelling of 22121100217 in words is "twenty-two billion, one hundred twenty-one million, one hundred thousand, two hundred seventeen".