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213113212261 is a prime number
BaseRepresentation
bin1100011001111010001…
…0011000110101100101
3202101002020002212222121
43012132202120311211
511442423440243021
6241523003425541
721253100262355
oct3063642306545
9671066085877
10213113212261
1182420941704
12353772252b1
1317133cac381
14a4598bab65
1558247da741
hex319e898d65

213113212261 has 2 divisors, whose sum is σ = 213113212262. Its totient is φ = 213113212260.

The previous prime is 213113212243. The next prime is 213113212289. The reversal of 213113212261 is 162212311312.

213113212261 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., 115128561636 + 97984650625 = 339306^2 + 313025^2 .

It is a cyclic number.

It is not a de Polignac number, because 213113212261 - 27 = 213113212133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213113222261) 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, 106556606130 + 106556606131.

It is an arithmetic number, because the mean of its divisors is an integer number (106556606131).

Almost surely, 2213113212261 is an apocalyptic number.

It is an amenable number.

213113212261 is a deficient number, since it is larger than the sum of its proper divisors (1).

213113212261 is an equidigital number, since it uses as much as digits as its factorization.

213113212261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 25.

Adding to 213113212261 its reverse (162212311312), we get a palindrome (375325523573).

The spelling of 213113212261 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred twelve thousand, two hundred sixty-one".