Base | Representation |
---|---|
bin | 10011010000101… |
… | …001011011110000 |
3 | 211112000202120021 |
4 | 103100221123300 |
5 | 1130210143440 |
6 | 52021453224 |
7 | 11002366144 |
oct | 2320513360 |
9 | 745022507 |
10 | 323131120 |
11 | 156443214 |
12 | 90271214 |
13 | 51c39460 |
14 | 30cb5224 |
15 | 1d57c84a |
hex | 134296f0 |
323131120 has 80 divisors (see below), whose sum is σ = 814635360. Its totient is φ = 118490112.
The previous prime is 323131103. The next prime is 323131129. The reversal of 323131120 is 21131323.
323131120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 323131094 and 323131103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (323131129) 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 15 ways as a sum of consecutive naturals, for example, 162291 + ... + 164269.
It is an arithmetic number, because the mean of its divisors is an integer number (10182942).
Almost surely, 2323131120 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 323131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407317680).
323131120 is an abundant number, since it is smaller than the sum of its proper divisors (491504240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
323131120 is a wasteful number, since it uses less digits than its factorization.
323131120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2162 (or 2156 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
The square root of 323131120 is about 17975.8482414600. The cubic root of 323131120 is about 686.2140333482.
Adding to 323131120 its reverse (21131323), we get a palindrome (344262443).
It can be divided in two parts, 32313 and 1120, that added together give a palindrome (33433).
The spelling of 323131120 in words is "three hundred twenty-three million, one hundred thirty-one thousand, one hundred twenty".
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