Search a number
-
+
2201131330213 is a prime number
BaseRepresentation
bin100000000001111101101…
…001101010101010100101
321210102111121221001202111
4200001331221222222211
5242030404110031323
64403104043241021
7315012041413624
oct40017551525245
97712447831674
102201131330213
11779549286132
122b6716519171
1312c7480837ba
147876cd076bb
153c3ca925c0d
hex2007da6aaa5

2201131330213 has 2 divisors, whose sum is σ = 2201131330214. Its totient is φ = 2201131330212.

The previous prime is 2201131330169. The next prime is 2201131330217. The reversal of 2201131330213 is 3120331311022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2125361611044 + 75769719169 = 1457862^2 + 275263^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2201131330213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201131330217) 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, 1100565665106 + 1100565665107.

It is an arithmetic number, because the mean of its divisors is an integer number (1100565665107).

Almost surely, 22201131330213 is an apocalyptic number.

It is an amenable number.

2201131330213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201131330213 is an equidigital number, since it uses as much as digits as its factorization.

2201131330213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2201131330213 its reverse (3120331311022), we get a palindrome (5321462641235).

The spelling of 2201131330213 in words is "two trillion, two hundred one billion, one hundred thirty-one million, three hundred thirty thousand, two hundred thirteen".