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2213303329 is a prime number
BaseRepresentation
bin1000001111101100…
…0101010000100001
312201020201110101101
42003323011100201
514013101201304
61003342434401
7105563524246
oct20373052041
95636643341
102213303329
11a36396606
12519292a01
1329370b953
1416dd415cd
15ce4988a4
hex83ec5421

2213303329 has 2 divisors, whose sum is σ = 2213303330. Its totient is φ = 2213303328.

The previous prime is 2213303303. The next prime is 2213303357. The reversal of 2213303329 is 9233033122.

It is a happy number.

It is an a-pointer prime, because the next prime (2213303357) can be obtained adding 2213303329 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2136565729 + 76737600 = 46223^2 + 8760^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213303329 - 217 = 2213172257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2213303297 and 2213303306.

It is not a weakly prime, because it can be changed into another prime (2213303429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106651664 + 1106651665.

It is an arithmetic number, because the mean of its divisors is an integer number (1106651665).

Almost surely, 22213303329 is an apocalyptic number.

It is an amenable number.

2213303329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213303329 is an equidigital number, since it uses as much as digits as its factorization.

2213303329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 2213303329 is about 47045.7578215082. The cubic root of 2213303329 is about 1303.2077252346.

The spelling of 2213303329 in words is "two billion, two hundred thirteen million, three hundred three thousand, three hundred twenty-nine".