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221122112273 is a prime number
BaseRepresentation
bin1100110111101111100…
…1111010101100010001
3210010202101021011101222
43031323321322230101
512110324230043043
6245325422134425
721655416641156
oct3157371725421
9703671234358
10221122112273
1185860738837
1236a31421415
1317b0c31a46a
14a9b942022d
155b42992d68
hex337be7ab11

221122112273 has 2 divisors, whose sum is σ = 221122112274. Its totient is φ = 221122112272.

The previous prime is 221122112219. The next prime is 221122112311. The reversal of 221122112273 is 372211221122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220254691969 + 867420304 = 469313^2 + 29452^2 .

It is a cyclic number.

It is not a de Polignac number, because 221122112273 - 216 = 221122046737 is a prime.

It is not a weakly prime, because it can be changed into another prime (221122112213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561056136 + 110561056137.

It is an arithmetic number, because the mean of its divisors is an integer number (110561056137).

Almost surely, 2221122112273 is an apocalyptic number.

It is an amenable number.

221122112273 is a deficient number, since it is larger than the sum of its proper divisors (1).

221122112273 is an equidigital number, since it uses as much as digits as its factorization.

221122112273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 26.

Adding to 221122112273 its reverse (372211221122), we get a palindrome (593333333395).

The spelling of 221122112273 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, two hundred seventy-three".