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220112110217 is a prime number
BaseRepresentation
bin1100110011111110110…
…1000100001010001001
3210001010222202202001102
43030333231010022021
512101242200011332
6245041302231145
721621404031566
oct3147755041211
9701128682042
10220112110217
118539260329a
12367ab1254b5
13179aacba7cc
14a92122b86d
155ad3e88062
hex333fb44289

220112110217 has 2 divisors, whose sum is σ = 220112110218. Its totient is φ = 220112110216.

The previous prime is 220112110193. The next prime is 220112110219. The reversal of 220112110217 is 712011211022.

It is a happy number.

220112110217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139196894281 + 80915215936 = 373091^2 + 284456^2 .

It is a cyclic number.

It is not a de Polignac number, because 220112110217 - 220 = 220111061641 is a prime.

Together with 220112110219, 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 (220112110219) 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, 110056055108 + 110056055109.

It is an arithmetic number, because the mean of its divisors is an integer number (110056055109).

Almost surely, 2220112110217 is an apocalyptic number.

It is an amenable number.

220112110217 is a deficient number, since it is larger than the sum of its proper divisors (1).

220112110217 is an equidigital number, since it uses as much as digits as its factorization.

220112110217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 220112110217 its reverse (712011211022), we get a palindrome (932123321239).

The spelling of 220112110217 in words is "two hundred twenty billion, one hundred twelve million, one hundred ten thousand, two hundred seventeen".