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2213105329 is a prime number
BaseRepresentation
bin1000001111101001…
…0100111010110001
312201020100101210001
42003322110322301
514013023332304
61003334310001
7105562041061
oct20372247261
95636311701
102213105329
11a36270876
125191b8301
1329366c7a6
1416dccd3a1
15ce459da4
hex83e94eb1

2213105329 has 2 divisors, whose sum is σ = 2213105330. Its totient is φ = 2213105328.

The previous prime is 2213105291. The next prime is 2213105387. The reversal of 2213105329 is 9235013122.

2213105329 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., 2057529600 + 155575729 = 45360^2 + 12473^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213105329 - 27 = 2213105201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2213105297 and 2213105306.

It is not a weakly prime, because it can be changed into another prime (2213105029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106552664 + 1106552665.

It is an arithmetic number, because the mean of its divisors is an integer number (1106552665).

Almost surely, 22213105329 is an apocalyptic number.

It is an amenable number.

2213105329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213105329 is an equidigital number, since it uses as much as digits as its factorization.

2213105329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 2213105329 is about 47043.6534401826. The cubic root of 2213105329 is about 1303.1688628366.

The spelling of 2213105329 in words is "two billion, two hundred thirteen million, one hundred five thousand, three hundred twenty-nine".