Base | Representation |
---|---|
bin | 111100010010101… |
… | …0000100100100000 |
3 | 12012222200201201121 |
4 | 1320211100210200 |
5 | 13120344024440 |
6 | 532424342024 |
7 | 101063332513 |
oct | 17045204440 |
9 | 5188621647 |
10 | 2023033120 |
11 | 948a497a9 |
12 | 485614914 |
13 | 263180224 |
14 | 152972d7a |
15 | bc91234a |
hex | 78950920 |
2023033120 has 48 divisors (see below), whose sum is σ = 4783416120. Its totient is φ = 808536064.
The previous prime is 2023033093. The next prime is 2023033121. The reversal of 2023033120 is 213303202.
It can be written as a sum of positive squares in 4 ways, for example, as 1826023824 + 197009296 = 42732^2 + 14036^2 .
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 = 2023033094 and 2023033103.
It is not an unprimeable number, because it can be changed into a prime (2023033121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215076 + ... + 224284.
Almost surely, 22023033120 is an apocalyptic number.
2023033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2023033120 is an abundant number, since it is smaller than the sum of its proper divisors (2760383000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023033120 is a wasteful number, since it uses less digits than its factorization.
2023033120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10597 (or 10589 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
The square root of 2023033120 is about 44978.1404684542. The cubic root of 2023033120 is about 1264.7392527090.
Adding to 2023033120 its reverse (213303202), we get a palindrome (2236336322).
The spelling of 2023033120 in words is "two billion, twenty-three million, thirty-three thousand, one hundred twenty".
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