Search a number
-
+
12223222220133 = 3328314391111667
BaseRepresentation
bin1011000111011111000011…
…0100011000010101100101
31121021112021101001210121000
42301313300310120111211
53100231124342021013
641555134252543513
72401045561410141
oct261676064302545
947245241053530
1012223222220133
113992926314771
121454b38481b99
136a884cb35002
1430386dcb6221
15162e49e4c973
hexb1df0d18565

12223222220133 has 32 divisors (see below), whose sum is σ = 18185109811200. Its totient is φ = 8114370293808.

The previous prime is 12223222220129. The next prime is 12223222220177. The reversal of 12223222220133 is 33102222232221.

12223222220133 is a `hidden beast` number, since 1 + 2 + 2 + 232 + 222 + 201 + 3 + 3 = 666.

12223222220133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12223222220133 - 22 = 12223222220129 is a prime.

It is a super-2 number, since 2×122232222201332 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12223222220097 and 12223222220106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223222220633) 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, 10439566 + ... + 11551232.

It is an arithmetic number, because the mean of its divisors is an integer number (568284681600).

Almost surely, 212223222220133 is an apocalyptic number.

It is an amenable number.

12223222220133 is a deficient number, since it is larger than the sum of its proper divisors (5961887591067).

12223222220133 is a wasteful number, since it uses less digits than its factorization.

12223222220133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113398 (or 1113392 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12223222220133 its reverse (33102222232221), we get a palindrome (45325444452354).

The spelling of 12223222220133 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty-two million, two hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 9 27 283 849 1439 2547 4317 7641 12951 38853 407237 1111667 1221711 3335001 3665133 10005003 10995399 30015009 314601761 943805283 1599688813 2831415849 4799066439 8494247547 14397199317 43191597951 452711934079 1358135802237 4074407406711 12223222220133