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12033231320 = 23511153117863
BaseRepresentation
bin10110011010011110…
…01000100111011000
31011001121122111011002
423031033020213120
5144121001400240
65310013524132
7604123531025
oct131517104730
934047574132
1012033231320
115115499880
1223b9aa3648
131199ccb526
148221cc54c
154a6636d15
hex2cd3c89d8

12033231320 has 64 divisors (see below), whose sum is σ = 29557059840. Its totient is φ = 4372617600.

The previous prime is 12033231293. The next prime is 12033231337. The reversal of 12033231320 is 2313233021.

12033231320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12033231292 and 12033231301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664709 + ... + 682571.

It is an arithmetic number, because the mean of its divisors is an integer number (461829060).

Almost surely, 212033231320 is an apocalyptic number.

12033231320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12033231320 is an abundant number, since it is smaller than the sum of its proper divisors (17523828520).

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

12033231320 is a wasteful number, since it uses less digits than its factorization.

12033231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19416 (or 19412 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12033231320 its reverse (2313233021), we get a palindrome (14346464341).

The spelling of 12033231320 in words is "twelve billion, thirty-three million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1531 3062 6124 7655 12248 15310 16841 17863 30620 33682 35726 61240 67364 71452 84205 89315 134728 142904 168410 178630 196493 336820 357260 392986 673640 714520 785972 982465 1571944 1964930 3929860 7859720 27348253 54696506 109393012 136741265 218786024 273482530 300830783 546965060 601661566 1093930120 1203323132 1504153915 2406646264 3008307830 6016615660 12033231320