Search a number
-
+
132123122212332 = 22343748734199621
BaseRepresentation
bin11110000010101001001111…
…110001000001110111101100
3122022210211212120000120101010
4132002221033301001313230
5114304201123241243312
61145000305135145220
736554403064562016
oct3602511761016754
9568724776016333
10132123122212332
113910a1130564a9
121299a41a375210
135895206b08024
14248ab168d11b6
151041c5b6b193c
hex782a4fc41dec

132123122212332 has 48 divisors (see below), whose sum is σ = 315498900068352. Its totient is φ = 43011083693760.

The previous prime is 132123122212331. The next prime is 132123122212379. The reversal of 132123122212332 is 233212221321231.

It is a happy number.

132123122212332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132123122212332.

It is not an unprimeable number, because it can be changed into a prime (132123122212331) 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, 13236519 + ... + 20963102.

It is an arithmetic number, because the mean of its divisors is an integer number (6572893751424).

Almost surely, 2132123122212332 is an apocalyptic number.

132123122212332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132123122212332 is an abundant number, since it is smaller than the sum of its proper divisors (183375777856020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132123122212332 is a wasteful number, since it uses less digits than its factorization.

132123122212332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34207158 (or 34207156 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 132123122212332 its reverse (233212221321231), we get a palindrome (365335343533563).

The spelling of 132123122212332 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, one hundred twenty-two million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 7487 14974 22461 29948 44922 89844 321941 643882 965823 1287764 1931646 3863292 34199621 68399242 102598863 136798484 205197726 410395452 1470583703 2941167406 4411751109 5882334812 8823502218 17647004436 256052562427 512105124854 768157687281 1024210249708 1536315374562 3072630749124 11010260184361 22020520368722 33030780553083 44041040737444 66061561106166 132123122212332