Base | Representation |
---|---|
bin | 10110111111100010… |
… | …11011111010000000 |
3 | 1011212021210222222112 |
4 | 23133301123322000 |
5 | 200240104304440 |
6 | 5400523154452 |
7 | 614621036351 |
oct | 133761337200 |
9 | 34767728875 |
10 | 12344213120 |
11 | 5264a94028 |
12 | 2486075a28 |
13 | 1219572a25 |
14 | 85161dd28 |
15 | 4c3ab4965 |
hex | 2dfc5be80 |
12344213120 has 64 divisors (see below), whose sum is σ = 29541680640. Its totient is φ = 4932449280.
The previous prime is 12344213117. The next prime is 12344213143. The reversal of 12344213120 is 2131244321.
It is a tau number, because it is divible by the number of its divisors (64).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624509 + ... + 643971.
It is an arithmetic number, because the mean of its divisors is an integer number (461588760).
Almost surely, 212344213120 is an apocalyptic number.
12344213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12344213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14770840320).
12344213120 is an abundant number, since it is smaller than the sum of its proper divisors (17197467520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12344213120 is an equidigital number, since it uses as much as digits as its factorization.
12344213120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20473 (or 20461 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 23.
Adding to 12344213120 its reverse (2131244321), we get a palindrome (14475457441).
The spelling of 12344213120 in words is "twelve billion, three hundred forty-four million, two hundred thirteen thousand, one hundred twenty".
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