Base | Representation |
---|---|
bin | 111100100110011… |
… | …0110000001001000 |
3 | 12020201012221021221 |
4 | 1321030312001020 |
5 | 13131023110440 |
6 | 533435011424 |
7 | 101250462250 |
oct | 17114660110 |
9 | 5221187257 |
10 | 2033410120 |
11 | 953897135 |
12 | 488b99b74 |
13 | 265374571 |
14 | 1540b4960 |
15 | bd7b1d4a |
hex | 79336048 |
2033410120 has 128 divisors (see below), whose sum is σ = 5553308160. Its totient is φ = 654151680.
The previous prime is 2033410091. The next prime is 2033410121. The reversal of 2033410120 is 210143302.
It is a happy number.
It is a super-2 number, since 2×20334101202 = 8269513432236828800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2033410094 and 2033410103.
It is not an unprimeable number, because it can be changed into a prime (2033410121) 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 31 ways as a sum of consecutive naturals, for example, 3003222 + ... + 3003898.
It is an arithmetic number, because the mean of its divisors is an integer number (43385220).
Almost surely, 22033410120 is an apocalyptic number.
2033410120 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 2033410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776654080).
2033410120 is an abundant number, since it is smaller than the sum of its proper divisors (3519898040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2033410120 is a wasteful number, since it uses less digits than its factorization.
2033410120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1343 (or 1339 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 2033410120 is about 45093.3489552506. The cubic root of 2033410120 is about 1266.8980282216.
Adding to 2033410120 its reverse (210143302), we get a palindrome (2243553422).
The spelling of 2033410120 in words is "two billion, thirty-three million, four hundred ten thousand, one hundred twenty".
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