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2221100129 is a prime number
BaseRepresentation
bin1000010001100011…
…0100110001100001
312201210101120120202
42010120310301201
514022100201004
61004221514545
7106020016403
oct20430646141
95653346522
102221100129
11a3a831446
1251ba12a55
1329520b741
14170db0b73
15ceed8b1e
hex84634c61

2221100129 has 2 divisors, whose sum is σ = 2221100130. Its totient is φ = 2221100128.

The previous prime is 2221100081. The next prime is 2221100131. The reversal of 2221100129 is 9210011222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1480171729 + 740928400 = 38473^2 + 27220^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221100129 - 216 = 2221034593 is a prime.

Together with 2221100131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2221100129.

It is not a weakly prime, because it can be changed into another prime (2221100149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110550064 + 1110550065.

It is an arithmetic number, because the mean of its divisors is an integer number (1110550065).

Almost surely, 22221100129 is an apocalyptic number.

It is an amenable number.

2221100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221100129 is an equidigital number, since it uses as much as digits as its factorization.

2221100129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 2221100129 is about 47128.5489804216. The cubic root of 2221100129 is about 1304.7362010881.

The spelling of 2221100129 in words is "two billion, two hundred twenty-one million, one hundred thousand, one hundred twenty-nine".