Search a number
-
+
213044222009 is a prime number
BaseRepresentation
bin1100011001101001101…
…1001101100000111001
3202100220102021211011002
43012122123031200321
511442303310101014
6241512101014345
721251302002533
oct3063233154071
9670812254132
10213044222009
1182395a00273
12353580b43b5
1317122905338
14a45067c853
15581d70ddde
hex319a6cd839

213044222009 has 2 divisors, whose sum is σ = 213044222010. Its totient is φ = 213044222008.

The previous prime is 213044221997. The next prime is 213044222051. The reversal of 213044222009 is 900222440312.

It is a happy number.

213044222009 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., 152702755984 + 60341466025 = 390772^2 + 245645^2 .

It is a cyclic number.

It is not a de Polignac number, because 213044222009 - 216 = 213044156473 is a prime.

It is not a weakly prime, because it can be changed into another prime (213044228009) 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, 106522111004 + 106522111005.

It is an arithmetic number, because the mean of its divisors is an integer number (106522111005).

Almost surely, 2213044222009 is an apocalyptic number.

It is an amenable number.

213044222009 is a deficient number, since it is larger than the sum of its proper divisors (1).

213044222009 is an equidigital number, since it uses as much as digits as its factorization.

213044222009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 213044222009 in words is "two hundred thirteen billion, forty-four million, two hundred twenty-two thousand, nine".