| Base | Representation |
|---|---|
| bin | 111100010010110… |
| … | …0110010011000000 |
| 3 | 12012222212020210121 |
| 4 | 1320211212103000 |
| 5 | 13120404401422 |
| 6 | 532430310024 |
| 7 | 101064153124 |
| oct | 17045462300 |
| 9 | 5188766717 |
| 10 | 2023122112 |
| 11 | 948aaa650 |
| 12 | 485658314 |
| 13 | 2631b189b |
| 14 | 152997584 |
| 15 | bc92d8c7 |
| hex | 789664c0 |
2023122112 has 112 divisors (see below), whose sum is σ = 4548408480. Its totient is φ = 884736000.
The previous prime is 2023122107. The next prime is 2023122119. The reversal of 2023122112 is 2112213202.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (2023122119) 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, 2630464 + ... + 2631232.
It is an arithmetic number, because the mean of its divisors is an integer number (40610790).
Almost surely, 22023122112 is an apocalyptic number.
2023122112 is a gapful number since it is divisible by the number (22) 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 2023122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274204240).
2023122112 is an abundant number, since it is smaller than the sum of its proper divisors (2525286368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023122112 is a wasteful number, since it uses less digits than its factorization.
2023122112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 930 (or 920 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 2023122112 is about 44979.1297381352. The cubic root of 2023122112 is about 1264.7577974747.
Adding to 2023122112 its reverse (2112213202), we get a palindrome (4135335314).
It can be divided in two parts, 20 and 23122112, that added together give a palindrome (23122132).
The spelling of 2023122112 in words is "two billion, twenty-three million, one hundred twenty-two thousand, one hundred twelve".
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