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2221100081 is a prime number
BaseRepresentation
bin1000010001100011…
…0100110000110001
312201210101120111222
42010120310300301
514022100200311
61004221514425
7106020016304
oct20430646061
95653346458
102221100081
11a3a831402
1251ba12a15
1329520b705
14170db0b3b
15ceed8adb
hex84634c31

2221100081 has 2 divisors, whose sum is σ = 2221100082. Its totient is φ = 2221100080.

The previous prime is 2221100071. The next prime is 2221100129. The reversal of 2221100081 is 1800011222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1914850081 + 306250000 = 43759^2 + 17500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221100081 is a prime.

It is a super-2 number, since 2×22211000812 = 9866571139636413122, which contains 22 as substring.

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 (2221100071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110550040 + 1110550041.

It is an arithmetic number, because the mean of its divisors is an integer number (1110550041).

Almost surely, 22221100081 is an apocalyptic number.

It is an amenable number.

2221100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221100081 is an equidigital number, since it uses as much as digits as its factorization.

2221100081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 2221100081 is about 47128.5484711762. The cubic root of 2221100081 is about 1304.7361916892.

The spelling of 2221100081 in words is "two billion, two hundred twenty-one million, one hundred thousand, eighty-one".