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22222211117 is a prime number
BaseRepresentation
bin10100101100100011…
…000000100000101101
32010100201000021211012
4110230203000200231
5331002341223432
614113031035005
71414454451341
oct245443004055
963321007735
1022222211117
11947394a137
12438220ba65
132131bb4c62
14110b4a5621
158a0dc3cb2
hex52c8c082d

22222211117 has 2 divisors, whose sum is σ = 22222211118. Its totient is φ = 22222211116.

The previous prime is 22222211087. The next prime is 22222211129. The reversal of 22222211117 is 71111222222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12237005641 + 9985205476 = 110621^2 + 99926^2 .

It is a cyclic number.

It is not a de Polignac number, because 22222211117 - 28 = 22222210861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22222211092 and 22222211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22222211017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111105558 + 11111105559.

It is an arithmetic number, because the mean of its divisors is an integer number (11111105559).

Almost surely, 222222211117 is an apocalyptic number.

It is an amenable number.

22222211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

22222211117 is an equidigital number, since it uses as much as digits as its factorization.

22222211117 is an odious number, because the sum of its binary digits is odd.

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

Adding to 22222211117 its reverse (71111222222), we get a palindrome (93333433339).

The spelling of 22222211117 in words is "twenty-two billion, two hundred twenty-two million, two hundred eleven thousand, one hundred seventeen".