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100222217 is a prime number
BaseRepresentation
bin1011111100101…
…00010100001001
320222120211000222
411332110110021
5201124102332
613540035425
72324606024
oct576242411
9228524028
10100222217
1151633487
1229692b75
13179c09b4
14d44c1bb
158bea712
hex5f94509

100222217 has 2 divisors, whose sum is σ = 100222218. Its totient is φ = 100222216.

The previous prime is 100222183. The next prime is 100222229. The reversal of 100222217 is 712222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75411856 + 24810361 = 8684^2 + 4981^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222217 - 26 = 100222153 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222195 and 100222204.

It is not a weakly prime, because it can be changed into another prime (100222267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111108 + 50111109.

It is an arithmetic number, because the mean of its divisors is an integer number (50111109).

Almost surely, 2100222217 is an apocalyptic number.

It is an amenable number.

100222217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222217 is an equidigital number, since it uses as much as digits as its factorization.

100222217 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 17.

The square root of 100222217 is about 10011.1046842993. The cubic root of 100222217 is about 464.5024423199.

Adding to 100222217 its reverse (712222001), we get a palindrome (812444218).

The spelling of 100222217 in words is "one hundred million, two hundred twenty-two thousand, two hundred seventeen".