Search a number
-
+
212333320013 is a prime number
BaseRepresentation
bin1100010111000000001…
…1010101011101001101
3202022001212121020221112
43011300003111131031
511434324312220023
6241313343541405
721224550304133
oct3056003253515
9668055536845
10212333320013
1182060695061
1235199bba865
131703b549979
14a3c40a7753
1557cb0d6478
hex31700d574d

212333320013 has 2 divisors, whose sum is σ = 212333320014. Its totient is φ = 212333320012.

The previous prime is 212333319997. The next prime is 212333320027. The reversal of 212333320013 is 310023333212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209088536644 + 3244783369 = 457262^2 + 56963^2 .

It is a cyclic number.

It is not a de Polignac number, because 212333320013 - 24 = 212333319997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212333320313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106166660006 + 106166660007.

It is an arithmetic number, because the mean of its divisors is an integer number (106166660007).

Almost surely, 2212333320013 is an apocalyptic number.

It is an amenable number.

212333320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212333320013 is an equidigital number, since it uses as much as digits as its factorization.

212333320013 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 23.

Adding to 212333320013 its reverse (310023333212), we get a palindrome (522356653225).

The spelling of 212333320013 in words is "two hundred twelve billion, three hundred thirty-three million, three hundred twenty thousand, thirteen".