Search a number
-
+
213133122289 is a prime number
BaseRepresentation
bin1100011001111110111…
…0010101101011110001
3202101010121120102102001
43012133232111223301
511442444034403124
6241524554254001
721253431435163
oct3063756255361
9671117512361
10213133122289
118243110037a
1235381a27301
1317138160859
14a45c3c0933
15582641eb44
hex319fb95af1

213133122289 has 2 divisors, whose sum is σ = 213133122290. Its totient is φ = 213133122288.

The previous prime is 213133122263. The next prime is 213133122329. The reversal of 213133122289 is 982221331312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175868680689 + 37264441600 = 419367^2 + 193040^2 .

It is a cyclic number.

It is not a de Polignac number, because 213133122289 - 237 = 75694168817 is a prime.

It is not a weakly prime, because it can be changed into another prime (213133122229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106566561144 + 106566561145.

It is an arithmetic number, because the mean of its divisors is an integer number (106566561145).

Almost surely, 2213133122289 is an apocalyptic number.

It is an amenable number.

213133122289 is a deficient number, since it is larger than the sum of its proper divisors (1).

213133122289 is an equidigital number, since it uses as much as digits as its factorization.

213133122289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 37.

The spelling of 213133122289 in words is "two hundred thirteen billion, one hundred thirty-three million, one hundred twenty-two thousand, two hundred eighty-nine".