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22112200102217 is a prime number
BaseRepresentation
bin1010000011100011001011…
…10101010001000101001001
32220021220110020121002212012
411001301211311101011021
510344241241211232332
6115010112100425305
74441360634453411
oct501614565210511
986256406532765
1022112200102217
117055805548325
1225915ab0a8235
13c4522cab1024
14566344197641
152852c81983b2
hex141c65d51149

22112200102217 has 2 divisors, whose sum is σ = 22112200102218. Its totient is φ = 22112200102216.

The previous prime is 22112200102183. The next prime is 22112200102219. The reversal of 22112200102217 is 71220100221122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16440924577081 + 5671275525136 = 4054741^2 + 2381444^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112200102217 - 232 = 22107905134921 is a prime.

Together with 22112200102219, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 22112200102192 and 22112200102201.

It is not a weakly prime, because it can be changed into another prime (22112200102219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056100051108 + 11056100051109.

It is an arithmetic number, because the mean of its divisors is an integer number (11056100051109).

Almost surely, 222112200102217 is an apocalyptic number.

It is an amenable number.

22112200102217 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112200102217 is an equidigital number, since it uses as much as digits as its factorization.

22112200102217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 22112200102217 its reverse (71220100221122), we get a palindrome (93332300323339).

The spelling of 22112200102217 in words is "twenty-two trillion, one hundred twelve billion, two hundred million, one hundred two thousand, two hundred seventeen".