Search a number
-
+
211113120217 is a prime number
BaseRepresentation
bin1100010010011101010…
…0101001000111011001
3202011220211120200111111
43010213110221013121
511424324424321332
6240552314500321
721152402625256
oct3044724510731
9664824520444
10211113120217
118159494197a
1234ab94346a1
1316ba580215c
14a309dda42d
155758e0a947
hex31275291d9

211113120217 has 2 divisors, whose sum is σ = 211113120218. Its totient is φ = 211113120216.

The previous prime is 211113120193. The next prime is 211113120289. The reversal of 211113120217 is 712021311112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112831497216 + 98281623001 = 335904^2 + 313499^2 .

It is a cyclic number.

It is not a de Polignac number, because 211113120217 - 211 = 211113118169 is a prime.

It is a super-3 number, since 3×2111131202173 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (211113120817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105556560108 + 105556560109.

It is an arithmetic number, because the mean of its divisors is an integer number (105556560109).

Almost surely, 2211113120217 is an apocalyptic number.

It is an amenable number.

211113120217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211113120217 is an equidigital number, since it uses as much as digits as its factorization.

211113120217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 211113120217 its reverse (712021311112), we get a palindrome (923134431329).

The spelling of 211113120217 in words is "two hundred eleven billion, one hundred thirteen million, one hundred twenty thousand, two hundred seventeen".