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222101034217 is a prime number
BaseRepresentation
bin1100111011011001000…
…0001101010011101001
3210020021121021112212021
43032312100031103221
512114330331043332
6250010511544441
722021604433046
oct3166620152351
9706247245767
10222101034217
1186213275337
123706522b121
1317c3708760a
14aa6d4421cd
155b9d8adc97
hex33b640d4e9

222101034217 has 2 divisors, whose sum is σ = 222101034218. Its totient is φ = 222101034216.

The previous prime is 222101034209. The next prime is 222101034289. The reversal of 222101034217 is 712430101222.

222101034217 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., 191930733801 + 30170300416 = 438099^2 + 173696^2 .

It is a cyclic number.

It is not a de Polignac number, because 222101034217 - 23 = 222101034209 is a prime.

It is a super-2 number, since 2×2221010342172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222101034191 and 222101034200.

It is not a weakly prime, because it can be changed into another prime (222101034317) 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, 111050517108 + 111050517109.

It is an arithmetic number, because the mean of its divisors is an integer number (111050517109).

Almost surely, 2222101034217 is an apocalyptic number.

It is an amenable number.

222101034217 is a deficient number, since it is larger than the sum of its proper divisors (1).

222101034217 is an equidigital number, since it uses as much as digits as its factorization.

222101034217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 222101034217 its reverse (712430101222), we get a palindrome (934531135439).

The spelling of 222101034217 in words is "two hundred twenty-two billion, one hundred one million, thirty-four thousand, two hundred seventeen".