Search a number
-
+
12002022322333 = 8910718136718973
BaseRepresentation
bin1010111010100111000001…
…0001101111000010011101
31120111101022120102201111121
42232221300101233002131
53033120120203303313
641305353011250541
72346055205325001
oct256516021570235
946441276381447
1012002022322333
11390803578857a
12141a0a4ba9a51
13690a2a681414
142d6c88408701
1515c30074228d
hexaea7046f09d

12002022322333 has 32 divisors (see below), whose sum is σ = 12352201505280. Its totient is φ = 11658837358080.

The previous prime is 12002022322319. The next prime is 12002022322349. The reversal of 12002022322333 is 33322322020021.

12002022322333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12002022322333 - 229 = 12001485451421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002022322298 and 12002022322307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002022322313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632574835 + ... + 632593807.

It is an arithmetic number, because the mean of its divisors is an integer number (386006297040).

Almost surely, 212002022322333 is an apocalyptic number.

It is an amenable number.

12002022322333 is a deficient number, since it is larger than the sum of its proper divisors (350179182947).

12002022322333 is a wasteful number, since it uses less digits than its factorization.

12002022322333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19717.

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 12002022322333 its reverse (33322322020021), we get a palindrome (45324344342354).

The spelling of 12002022322333 in words is "twelve trillion, two billion, twenty-two million, three hundred twenty-two thousand, three hundred thirty-three".

Divisors: 1 89 107 181 367 9523 16109 18973 19367 32663 39269 66427 1688597 1723663 2030111 3434113 3494941 5912003 6963091 7107689 180679879 305636057 367450091 619715099 632584321 745050737 1260319471 32703058099 66309515593 112168432919 134854183397 12002022322333