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2201000100217 is a prime number
BaseRepresentation
bin100000000001110101110…
…101000100000101111001
321210102011110222220001021
4200001311311010011321
5242030122011201332
64403043034422441
7315005556111112
oct40016565040571
97712143886037
102201000100217
117794911a4096
122b669a591a21
1312c726b27209
1478759707209
153c3be152c97
hex20075d44179

2201000100217 has 2 divisors, whose sum is σ = 2201000100218. Its totient is φ = 2201000100216.

The previous prime is 2201000100157. The next prime is 2201000100253. The reversal of 2201000100217 is 7120010001022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2194474853376 + 6525246841 = 1481376^2 + 80779^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201000100217 - 223 = 2200991711609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2201000100217.

It is not a weakly prime, because it can be changed into another prime (2201000100617) 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, 1100500050108 + 1100500050109.

It is an arithmetic number, because the mean of its divisors is an integer number (1100500050109).

Almost surely, 22201000100217 is an apocalyptic number.

It is an amenable number.

2201000100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201000100217 is an equidigital number, since it uses as much as digits as its factorization.

2201000100217 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 16.

Adding to 2201000100217 its reverse (7120010001022), we get a palindrome (9321010101239).

The spelling of 2201000100217 in words is "two trillion, two hundred one billion, one hundred thousand, two hundred seventeen".