Base | Representation |
---|---|
bin | 111100010010110… |
… | …1000100001010100 |
3 | 12012222212201021221 |
4 | 1320211220201110 |
5 | 13120410144340 |
6 | 532430420124 |
7 | 101064221515 |
oct | 17045504124 |
9 | 5188781257 |
10 | 2023131220 |
11 | 949006480 |
12 | 485661644 |
13 | 2631b5a86 |
14 | 15299aa0c |
15 | bc93144a |
hex | 78968854 |
2023131220 has 48 divisors (see below), whose sum is σ = 4665580416. Its totient is φ = 730800000.
The previous prime is 2023131203. The next prime is 2023131247. The reversal of 2023131220 is 221313202.
It is a junction number, because it is equal to n+sod(n) for n = 2023131194 and 2023131203.
It is a congruent number.
It is an unprimeable number.
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, 2770 + ... + 63670.
It is an arithmetic number, because the mean of its divisors is an integer number (97199592).
Almost surely, 22023131220 is an apocalyptic number.
2023131220 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 2023131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332790208).
2023131220 is an abundant number, since it is smaller than the sum of its proper divisors (2642449196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023131220 is a wasteful number, since it uses less digits than its factorization.
2023131220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61072 (or 61070 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 2023131220 is about 44979.2309849779. The cubic root of 2023131220 is about 1264.7596954317.
Adding to 2023131220 its reverse (221313202), we get a palindrome (2244444422).
The spelling of 2023131220 in words is "two billion, twenty-three million, one hundred thirty-one thousand, two hundred twenty".
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