Search a number
-
+
222110020213 is a prime number
BaseRepresentation
bin1100111011011011001…
…0011111001001110101
3210020022020012002022221
43032312302133021311
512114340131121323
6250011432322341
722022044010224
oct3166662371165
9706266162287
10222110020213
1186218352684
12370682433b1
1317c38bb2783
14aa70700cbb
155b9e58655d
hex33b6c9f275

222110020213 has 2 divisors, whose sum is σ = 222110020214. Its totient is φ = 222110020212.

The previous prime is 222110020199. The next prime is 222110020259. The reversal of 222110020213 is 312020011222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144637977969 + 77472042244 = 380313^2 + 278338^2 .

It is a cyclic number.

It is not a de Polignac number, because 222110020213 - 29 = 222110019701 is a prime.

It is a super-2 number, since 2×2221100202132 (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 (222110021213) 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, 111055010106 + 111055010107.

It is an arithmetic number, because the mean of its divisors is an integer number (111055010107).

Almost surely, 2222110020213 is an apocalyptic number.

It is an amenable number.

222110020213 is a deficient number, since it is larger than the sum of its proper divisors (1).

222110020213 is an equidigital number, since it uses as much as digits as its factorization.

222110020213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 222110020213 its reverse (312020011222), we get a palindrome (534130031435).

The spelling of 222110020213 in words is "two hundred twenty-two billion, one hundred ten million, twenty thousand, two hundred thirteen".