Base | Representation |
---|---|
bin | 100111011011110… |
… | …1010001000000000 |
3 | 10102012212012102110 |
4 | 1032313222020000 |
5 | 10202220311222 |
6 | 335145015320 |
7 | 44535061521 |
oct | 11667521000 |
9 | 3365765373 |
10 | 1323213312 |
11 | 619a12823 |
12 | 30b184540 |
13 | 1811a4b75 |
14 | c7a44848 |
15 | 7b27830c |
hex | 4edea200 |
1323213312 has 80 divisors (see below), whose sum is σ = 3535979040. Its totient is φ = 439713792.
The previous prime is 1323213301. The next prime is 1323213319. The reversal of 1323213312 is 2133123231.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (1323213319) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581008 + ... + 583280.
It is an arithmetic number, because the mean of its divisors is an integer number (44199738).
Almost surely, 21323213312 is an apocalyptic number.
1323213312 is a gapful number since it is divisible by the number (12) 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 1323213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767989520).
1323213312 is an abundant number, since it is smaller than the sum of its proper divisors (2212765728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1323213312 is an equidigital number, since it uses as much as digits as its factorization.
1323213312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2673 (or 2657 counting only the distinct ones).
The product of its digits is 648, while the sum is 21.
The square root of 1323213312 is about 36375.9991202991. Note that the first 3 decimals coincide. The cubic root of 1323213312 is about 1097.8507101249.
Adding to 1323213312 its reverse (2133123231), we get a palindrome (3456336543).
The spelling of 1323213312 in words is "one billion, three hundred twenty-three million, two hundred thirteen thousand, three hundred twelve".
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