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212110417 is a prime number
BaseRepresentation
bin11001010010010…
…00110001010001
3112210010022210101
430221020301101
5413300013132
633014132401
75153623501
oct1451106121
9483108711
10212110417
11a9804772
125b051101
1334c3762c
1420255a01
151394c7e7
hexca48c51

212110417 has 2 divisors, whose sum is σ = 212110418. Its totient is φ = 212110416.

The previous prime is 212110373. The next prime is 212110421. The reversal of 212110417 is 714011212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134652816 + 77457601 = 11604^2 + 8801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212110417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212110394 and 212110403.

It is not a weakly prime, because it can be changed into another prime (212110817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106055208 + 106055209.

It is an arithmetic number, because the mean of its divisors is an integer number (106055209).

Almost surely, 2212110417 is an apocalyptic number.

It is an amenable number.

212110417 is a deficient number, since it is larger than the sum of its proper divisors (1).

212110417 is an equidigital number, since it uses as much as digits as its factorization.

212110417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 212110417 is about 14564.0110203199. The cubic root of 212110417 is about 596.3766977719.

Adding to 212110417 its reverse (714011212), we get a palindrome (926121629).

The spelling of 212110417 in words is "two hundred twelve million, one hundred ten thousand, four hundred seventeen".