Search a number
-
+
212313310133 is a prime number
BaseRepresentation
bin1100010110111011011…
…1000000001110110101
3202022000110221122112212
43011232313000032311
511434304201411013
6241311351023205
721224215234241
oct3055667001665
9668013848485
10212313310133
1182050368371
123519336ab05
1317037361bc2
14a3c1579421
1557c94826a8
hex316edc03b5

212313310133 has 2 divisors, whose sum is σ = 212313310134. Its totient is φ = 212313310132.

The previous prime is 212313310103. The next prime is 212313310151. The reversal of 212313310133 is 331013313212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138925416529 + 73387893604 = 372727^2 + 270902^2 .

It is a cyclic number.

It is not a de Polignac number, because 212313310133 - 28 = 212313309877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212313310099 and 212313310108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212313310103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106156655066 + 106156655067.

It is an arithmetic number, because the mean of its divisors is an integer number (106156655067).

Almost surely, 2212313310133 is an apocalyptic number.

It is an amenable number.

212313310133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212313310133 is an equidigital number, since it uses as much as digits as its factorization.

212313310133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 212313310133 its reverse (331013313212), we get a palindrome (543326623345).

The spelling of 212313310133 in words is "two hundred twelve billion, three hundred thirteen million, three hundred ten thousand, one hundred thirty-three".