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222122011000117 is a prime number
BaseRepresentation
bin110010100000010011001111…
…100011111111110100110101
31002010110122201212011102020111
4302200103033203333310311
5213103221334304000432
62104225235415503021
764533533333255134
oct6240231743776465
91063418655142214
10222122011000117
1164858463556458
1220ab4898087a71
1396c302881a527
143cbca96b9791b
151aa2d836e0347
hexca04cf8ffd35

222122011000117 has 2 divisors, whose sum is σ = 222122011000118. Its totient is φ = 222122011000116.

The previous prime is 222122011000069. The next prime is 222122011000159. The reversal of 222122011000117 is 711000110221222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212323395685041 + 9798615315076 = 14571321^2 + 3130274^2 .

It is a cyclic number.

It is not a de Polignac number, because 222122011000117 - 215 = 222122010967349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222122011003117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111061005500058 + 111061005500059.

It is an arithmetic number, because the mean of its divisors is an integer number (111061005500059).

Almost surely, 2222122011000117 is an apocalyptic number.

It is an amenable number.

222122011000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

222122011000117 is an equidigital number, since it uses as much as digits as its factorization.

222122011000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 222122011000117 its reverse (711000110221222), we get a palindrome (933122121221339).

The spelling of 222122011000117 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, eleven million, one hundred seventeen", and thus it is an aban number.