Search a number
-
+
12223133233201 = 1129241115892589
BaseRepresentation
bin1011000111011110101110…
…0000111011000000110001
31121021112001011121210110201
42301313223200323000301
53100230434101430301
641555121353355201
72401043431134052
oct261675340730061
947245034553421
1012223133233201
113992890065550
121454b12708b01
136a8837579217
14303862150729
15162e42221201
hexb1deb83b031

12223133233201 has 16 divisors (see below), whose sum is σ = 13799853748800. Its totient is φ = 10724318382400.

The previous prime is 12223133233187. The next prime is 12223133233219. The reversal of 12223133233201 is 10233233132221.

It is a happy number.

12223133233201 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 a de Polignac number, because none of the positive numbers 2k-12223133233201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12223133233201.

It is not an unprimeable number, because it can be changed into a prime (12223133233271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7177186 + ... + 8715403.

It is an arithmetic number, because the mean of its divisors is an integer number (862490859300).

Almost surely, 212223133233201 is an apocalyptic number.

12223133233201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12223133233201 is a deficient number, since it is larger than the sum of its proper divisors (1576720515599).

12223133233201 is a wasteful number, since it uses less digits than its factorization.

12223133233201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15895040.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 12223133233201 its reverse (10233233132221), we get a palindrome (22456366365422).

The spelling of 12223133233201 in words is "twelve trillion, two hundred twenty-three billion, one hundred thirty-three million, two hundred thirty-three thousand, two hundred one".

Divisors: 1 11 29 319 2411 26521 69919 769109 15892589 174818479 460885081 5069735891 38317032079 421487352869 1111193930291 12223133233201