Search a number
-
+
201233330213 is a prime number
BaseRepresentation
bin1011101101101001110…
…0001111000000100101
3201020102022000100111012
42323122130033000211
511244111213031323
6232240104352005
720352515040626
oct2733234170045
9636368010435
10201233330213
1178384a72473
1233000775605
1315c8c9b3376
149a4dc09a4d
15537b895678
hex2eda70f025

201233330213 has 2 divisors, whose sum is σ = 201233330214. Its totient is φ = 201233330212.

The previous prime is 201233330201. The next prime is 201233330303. The reversal of 201233330213 is 312033332102.

201233330213 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., 146571825409 + 54661504804 = 382847^2 + 233798^2 .

It is a cyclic number.

It is not a de Polignac number, because 201233330213 - 26 = 201233330149 is a prime.

It is a super-2 number, since 2×2012333302132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201233330713) 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, 100616665106 + 100616665107.

It is an arithmetic number, because the mean of its divisors is an integer number (100616665107).

Almost surely, 2201233330213 is an apocalyptic number.

It is an amenable number.

201233330213 is a deficient number, since it is larger than the sum of its proper divisors (1).

201233330213 is an equidigital number, since it uses as much as digits as its factorization.

201233330213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 201233330213 its reverse (312033332102), we get a palindrome (513266662315).

The spelling of 201233330213 in words is "two hundred one billion, two hundred thirty-three million, three hundred thirty thousand, two hundred thirteen".