Search a number
-
+
12033320334 = 2372337121453
BaseRepresentation
bin10110011010011110…
…11110010110001110
31011001121211000020220
423031033132112032
5144121012222314
65310015452210
7604124351400
oct131517362616
934047730226
1012033320334
11511554a742
1223b9b27066
13119a02cbb9
14822212b70
154a66533a9
hex2cd3de58e

12033320334 has 48 divisors (see below), whose sum is σ = 28079193168. Its totient is φ = 3427861248.

The previous prime is 12033320333. The next prime is 12033320339. The reversal of 12033320334 is 43302333021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033320333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38352 + ... + 159804.

It is an arithmetic number, because the mean of its divisors is an integer number (584983191).

Almost surely, 212033320334 is an apocalyptic number.

12033320334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033320334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039596584).

12033320334 is an abundant number, since it is smaller than the sum of its proper divisors (16045872834).

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

12033320334 is a wasteful number, since it uses less digits than its factorization.

12033320334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121809 (or 121802 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 12033320334 its reverse (43302333021), we get a palindrome (55335653355).

The spelling of 12033320334 in words is "twelve billion, thirty-three million, three hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 337 674 1011 2022 2359 4718 7077 14154 16513 33026 49539 99078 121453 242906 364359 728718 850171 1700342 2550513 5101026 5951197 11902394 17853591 35707182 40929661 81859322 122788983 245577966 286507627 573015254 859522881 1719045762 2005553389 4011106778 6016660167 12033320334