Search a number
-
+
213113203217 is a prime number
BaseRepresentation
bin1100011001111010001…
…0010110101000010001
3202101002020002102120122
43012132202112220101
511442423440000332
6241523003320025
721253100224115
oct3063642265021
9671066072518
10213113203217
1182420935932
1235377220015
1317133ca8215
14a4598b7745
1558247d7c12
hex319e896a11

213113203217 has 2 divisors, whose sum is σ = 213113203218. Its totient is φ = 213113203216.

The previous prime is 213113203187. The next prime is 213113203241. The reversal of 213113203217 is 712302311312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153494702656 + 59618500561 = 391784^2 + 244169^2 .

It is a cyclic number.

It is not a de Polignac number, because 213113203217 - 28 = 213113202961 is a prime.

It is not a weakly prime, because it can be changed into another prime (213113203517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106556601608 + 106556601609.

It is an arithmetic number, because the mean of its divisors is an integer number (106556601609).

Almost surely, 2213113203217 is an apocalyptic number.

It is an amenable number.

213113203217 is a deficient number, since it is larger than the sum of its proper divisors (1).

213113203217 is an equidigital number, since it uses as much as digits as its factorization.

213113203217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 213113203217 its reverse (712302311312), we get a palindrome (925415514529).

The spelling of 213113203217 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred three thousand, two hundred seventeen".