Base | Representation |
---|---|
bin | 101100000110… |
… | …1000011001000 |
3 | 1121111201120211 |
4 | 1120031003020 |
5 | 21404401440 |
6 | 2143330504 |
7 | 400351300 |
oct | 130150310 |
9 | 47451524 |
10 | 23122120 |
11 | 12062a9a |
12 | 78b0a34 |
13 | 4a37538 |
14 | 30dc600 |
15 | 206aeea |
hex | 160d0c8 |
23122120 has 96 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 7728000.
The previous prime is 23122117. The next prime is 23122123. The reversal of 23122120 is 2122132.
It is an interprime number because it is at equal distance from previous prime (23122117) and next prime (23122123).
It is a self number, because there is not a number n which added to its sum of digits gives 23122120.
It is not an unprimeable number, because it can be changed into a prime (23122123) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91995 + ... + 92245.
It is an arithmetic number, because the mean of its divisors is an integer number (646380).
Almost surely, 223122120 is an apocalyptic number.
23122120 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 23122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).
23122120 is an abundant number, since it is smaller than the sum of its proper divisors (38930360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23122120 is a wasteful number, since it uses less digits than its factorization.
23122120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 323 (or 312 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 23122120 is about 4808.5465579528. The cubic root of 23122120 is about 284.8891330343.
Adding to 23122120 its reverse (2122132), we get a palindrome (25244252).
The spelling of 23122120 in words is "twenty-three million, one hundred twenty-two thousand, one hundred twenty".
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