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220112119873 is a prime number
BaseRepresentation
bin1100110011111110110…
…1000110100001000001
3210001010222210020022001
43030333231012201001
512101242200313443
6245041302344001
721621404102002
oct3147755064101
9701128706261
10220112119873
118539260a578
12367ab12b001
13179aacc2019
14a9212311a9
155ad3e8ad4d
hex333fb46841

220112119873 has 2 divisors, whose sum is σ = 220112119874. Its totient is φ = 220112119872.

The previous prime is 220112119817. The next prime is 220112120017. The reversal of 220112119873 is 378911211022.

It is a happy number.

220112119873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146618536464 + 73493583409 = 382908^2 + 271097^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220112119873 is a prime.

It is a super-2 number, since 2×2201121198732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220112119273) 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, 110056059936 + 110056059937.

It is an arithmetic number, because the mean of its divisors is an integer number (110056059937).

Almost surely, 2220112119873 is an apocalyptic number.

It is an amenable number.

220112119873 is a deficient number, since it is larger than the sum of its proper divisors (1).

220112119873 is an equidigital number, since it uses as much as digits as its factorization.

220112119873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 220112119873 in words is "two hundred twenty billion, one hundred twelve million, one hundred nineteen thousand, eight hundred seventy-three".