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217124801 is a prime number
BaseRepresentation
bin11001111000100…
…00111111000001
3120010120002020022
430330100333001
5421040443201
633313423225
75244346625
oct1474207701
9503502208
10217124801
1110161a093
126086ab15
1335ca1b1a
1420b9d185
15140dd41b
hexcf10fc1

217124801 has 2 divisors, whose sum is σ = 217124802. Its totient is φ = 217124800.

The previous prime is 217124797. The next prime is 217124857. The reversal of 217124801 is 108421712.

217124801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181710400 + 35414401 = 13480^2 + 5951^2 .

It is a cyclic number.

It is not a de Polignac number, because 217124801 - 22 = 217124797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (217124881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108562400 + 108562401.

It is an arithmetic number, because the mean of its divisors is an integer number (108562401).

Almost surely, 2217124801 is an apocalyptic number.

It is an amenable number.

217124801 is a deficient number, since it is larger than the sum of its proper divisors (1).

217124801 is an equidigital number, since it uses as much as digits as its factorization.

217124801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 217124801 is about 14735.1552757343. The cubic root of 217124801 is about 601.0396798100.

The spelling of 217124801 in words is "two hundred seventeen million, one hundred twenty-four thousand, eight hundred one".