Search a number
-
+
213300330130301 is a prime number
BaseRepresentation
bin110000011111111011011010…
…011010000110101101111101
31000222020022102202020222020012
4300133323122122012231331
5210424203034003132201
62033352452515033005
762633304011141561
oct6037733232065575
91028208382228205
10213300330130301
1161a671866a30a7
121bb0b048b9b765
13920319a29306b
143a95b109656a1
15199d66ed965bb
hexc1feda686b7d

213300330130301 has 2 divisors, whose sum is σ = 213300330130302. Its totient is φ = 213300330130300.

The previous prime is 213300330130291. The next prime is 213300330130343. The reversal of 213300330130301 is 103031033003312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206612163480100 + 6688166650201 = 14374010^2 + 2586149^2 .

It is a cyclic number.

It is not a de Polignac number, because 213300330130301 - 210 = 213300330129277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213300330120301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106650165065150 + 106650165065151.

It is an arithmetic number, because the mean of its divisors is an integer number (106650165065151).

Almost surely, 2213300330130301 is an apocalyptic number.

It is an amenable number.

213300330130301 is a deficient number, since it is larger than the sum of its proper divisors (1).

213300330130301 is an equidigital number, since it uses as much as digits as its factorization.

213300330130301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 213300330130301 its reverse (103031033003312), we get a palindrome (316331363133613).

The spelling of 213300330130301 in words is "two hundred thirteen trillion, three hundred billion, three hundred thirty million, one hundred thirty thousand, three hundred one".