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2210132213 is a prime number
BaseRepresentation
bin1000001110111011…
…1111000011110101
312201000202100102122
42003232333003311
514011243212323
61003150445325
7105524546102
oct20356770365
95630670378
102210132213
11a34620053
12518203845
13292b6b453
1416d757aa9
15ce06dec8
hex83bbf0f5

2210132213 has 2 divisors, whose sum is σ = 2210132214. Its totient is φ = 2210132212.

The previous prime is 2210132207. The next prime is 2210132237. The reversal of 2210132213 is 3122310122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2064157489 + 145974724 = 45433^2 + 12082^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2210132213 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2210132191 and 2210132200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210132273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105066106 + 1105066107.

It is an arithmetic number, because the mean of its divisors is an integer number (1105066107).

Almost surely, 22210132213 is an apocalyptic number.

It is an amenable number.

2210132213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210132213 is an equidigital number, since it uses as much as digits as its factorization.

2210132213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2210132213 is about 47012.0432761649. The cubic root of 2210132213 is about 1302.5850363541.

Adding to 2210132213 its reverse (3122310122), we get a palindrome (5332442335).

The spelling of 2210132213 in words is "two billion, two hundred ten million, one hundred thirty-two thousand, two hundred thirteen".