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2213110033 is a prime number
BaseRepresentation
bin1000001111101001…
…0110000100010001
312201020100122020021
42003322112010101
514013024010113
61003334343441
7105562060561
oct20372260421
95636318207
102213110033
11a36274362
125191bab81
13293671984
1416dcd0da1
15ce45b48d
hex83e96111

2213110033 has 2 divisors, whose sum is σ = 2213110034. Its totient is φ = 2213110032.

The previous prime is 2213110027. The next prime is 2213110037. The reversal of 2213110033 is 3300113122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1117698624 + 1095411409 = 33432^2 + 33097^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2213110033 is a prime.

It is a super-2 number, since 2×22131100332 = 9795712036330522178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2213109989 and 2213110016.

It is not a weakly prime, because it can be changed into another prime (2213110037) 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, 1106555016 + 1106555017.

It is an arithmetic number, because the mean of its divisors is an integer number (1106555017).

Almost surely, 22213110033 is an apocalyptic number.

It is an amenable number.

2213110033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213110033 is an equidigital number, since it uses as much as digits as its factorization.

2213110033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2213110033 is about 47043.7034362730. The cubic root of 2213110033 is about 1303.1697861399.

Adding to 2213110033 its reverse (3300113122), we get a palindrome (5513223155).

The spelling of 2213110033 in words is "two billion, two hundred thirteen million, one hundred ten thousand, thirty-three".