Search a number
-
+
210111112217 is a prime number
BaseRepresentation
bin1100001110101110011…
…0010010010000011001
3202002100000010101221002
43003223212102100121
511420301421042332
6240305042154345
721115514662166
oct3035346222031
9662300111832
10210111112217
1181120277496
12348799529b5
1316a76041006
14a252cc906d
1556eae7e562
hex30eb992419

210111112217 has 2 divisors, whose sum is σ = 210111112218. Its totient is φ = 210111112216.

The previous prime is 210111112207. The next prime is 210111112271. The reversal of 210111112217 is 712211111012.

It is a happy number.

Together with next prime (210111112271) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114796281856 + 95314830361 = 338816^2 + 308731^2 .

It is a cyclic number.

It is not a de Polignac number, because 210111112217 - 24 = 210111112201 is a prime.

It is a super-3 number, since 3×2101111122173 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (210111112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105055556108 + 105055556109.

It is an arithmetic number, because the mean of its divisors is an integer number (105055556109).

Almost surely, 2210111112217 is an apocalyptic number.

It is an amenable number.

210111112217 is a deficient number, since it is larger than the sum of its proper divisors (1).

210111112217 is an equidigital number, since it uses as much as digits as its factorization.

210111112217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 210111112217 its reverse (712211111012), we get a palindrome (922322223229).

The spelling of 210111112217 in words is "two hundred ten billion, one hundred eleven million, one hundred twelve thousand, two hundred seventeen".