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22000110617 is a prime number
BaseRepresentation
bin10100011111010011…
…110000110000011001
32002210020002102012202
4110133103300300121
5330024012014432
614035014415545
71406116566122
oct243723606031
962706072182
1022000110617
11936a541801
12431b9615b5
1320c7b90444
1410c9bad049
1588b651462
hex51f4f0c19

22000110617 has 2 divisors, whose sum is σ = 22000110618. Its totient is φ = 22000110616.

The previous prime is 22000110569. The next prime is 22000110619. The reversal of 22000110617 is 71601100022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14155288576 + 7844822041 = 118976^2 + 88571^2 .

It is a cyclic number.

It is not a de Polignac number, because 22000110617 - 28 = 22000110361 is a prime.

It is a super-2 number, since 2×220001106172 (a number of 21 digits) contains 22 as substring.

Together with 22000110619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22000110619) 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, 11000055308 + 11000055309.

It is an arithmetic number, because the mean of its divisors is an integer number (11000055309).

Almost surely, 222000110617 is an apocalyptic number.

It is an amenable number.

22000110617 is a deficient number, since it is larger than the sum of its proper divisors (1).

22000110617 is an equidigital number, since it uses as much as digits as its factorization.

22000110617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 22000110617 its reverse (71601100022), we get a palindrome (93601210639).

The spelling of 22000110617 in words is "twenty-two billion, one hundred ten thousand, six hundred seventeen".