Search a number
-
+
213212313110033 is a prime number
BaseRepresentation
bin110000011110101001011100…
…001011110100011000010001
31000221220220020200201001220122
4300132221130023310120101
5210421232304124010113
62033244215012520025
762624036610621206
oct6036513413643021
91027826220631818
10213212313110033
1161a3291a354036
121bab5b84320015
1391c7ab1239093
143a91761171cad
15199b21cb69408
hexc1ea5c2f4611

213212313110033 has 2 divisors, whose sum is σ = 213212313110034. Its totient is φ = 213212313110032.

The previous prime is 213212313110021. The next prime is 213212313110053. The reversal of 213212313110033 is 330011313212312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163914965373184 + 49297347736849 = 12802928^2 + 7021207^2 .

It is a cyclic number.

It is not a de Polignac number, because 213212313110033 - 220 = 213212312061457 is a prime.

It is a super-2 number, since 2×2132123131100332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213212313109984 and 213212313110011.

It is not a weakly prime, because it can be changed into another prime (213212313110053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106606156555016 + 106606156555017.

It is an arithmetic number, because the mean of its divisors is an integer number (106606156555017).

Almost surely, 2213212313110033 is an apocalyptic number.

It is an amenable number.

213212313110033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213212313110033 is an equidigital number, since it uses as much as digits as its factorization.

213212313110033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 213212313110033 its reverse (330011313212312), we get a palindrome (543223626322345).

The spelling of 213212313110033 in words is "two hundred thirteen trillion, two hundred twelve billion, three hundred thirteen million, one hundred ten thousand, thirty-three".