Base | Representation |
---|---|
bin | 1000101001011001… |
… | …1010011100111000 |
3 | 12222202121200120200 |
4 | 2022112122130320 |
5 | 14223202200240 |
6 | 1022153522200 |
7 | 111343201464 |
oct | 21226323470 |
9 | 5882550520 |
10 | 2321131320 |
11 | a91244352 |
12 | 549413360 |
13 | 2acb634b1 |
14 | 1803ad4a4 |
15 | d8b97930 |
hex | 8a59a738 |
2321131320 has 96 divisors (see below), whose sum is σ = 7583397120. Its totient is φ = 615709440.
The previous prime is 2321131301. The next prime is 2321131369. The reversal of 2321131320 is 231311232.
2321131320 is a `hidden beast` number, since 232 + 113 + 1 + 320 = 666.
It is a super-3 number, since 3×23211313203 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2321131293 and 2321131302.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51882 + ... + 85638.
It is an arithmetic number, because the mean of its divisors is an integer number (78993720).
Almost surely, 22321131320 is an apocalyptic number.
2321131320 is a gapful number since it is divisible by the number (20) 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 2321131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791698560).
2321131320 is an abundant number, since it is smaller than the sum of its proper divisors (5262265800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2321131320 is a wasteful number, since it uses less digits than its factorization.
2321131320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33965 (or 33958 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 2321131320 is about 48178.1207603618. The cubic root of 2321131320 is about 1324.0363364464.
Adding to 2321131320 its reverse (231311232), we get a palindrome (2552442552).
The spelling of 2321131320 in words is "two billion, three hundred twenty-one million, one hundred thirty-one thousand, three hundred twenty".
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