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222000112181 is a prime number
BaseRepresentation
bin1100111011000000111…
…1001110001000110101
3210020000120101011212002
43032300033032020311
512114124012042211
6245552504505045
722016240550521
oct3166017161065
9706016334762
10222000112181
11861713040a1
123703747b185
1317c1c1b0233
14aa5dc90d81
155b94ac603b
hex33b03ce235

222000112181 has 2 divisors, whose sum is σ = 222000112182. Its totient is φ = 222000112180.

The previous prime is 222000112141. The next prime is 222000112273. The reversal of 222000112181 is 181211000222.

222000112181 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., 208638832900 + 13361279281 = 456770^2 + 115591^2 .

It is a cyclic number.

It is not a de Polignac number, because 222000112181 - 234 = 204820242997 is a prime.

It is a super-2 number, since 2×2220001121812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222000112111) 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, 111000056090 + 111000056091.

It is an arithmetic number, because the mean of its divisors is an integer number (111000056091).

Almost surely, 2222000112181 is an apocalyptic number.

It is an amenable number.

222000112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

222000112181 is an equidigital number, since it uses as much as digits as its factorization.

222000112181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 222000112181 in words is "two hundred twenty-two billion, one hundred twelve thousand, one hundred eighty-one".