Base | Representation |
---|---|
bin | 111101100101000… |
… | …000111100111000 |
3 | 2122222222121011021 |
4 | 331211000330320 |
5 | 4103434112100 |
6 | 250303112224 |
7 | 34413214264 |
oct | 7545007470 |
9 | 2588877137 |
10 | 1033113400 |
11 | 490190430 |
12 | 249ba2674 |
13 | 136062307 |
14 | 9b2cb0a4 |
15 | 60a72a1a |
hex | 3d940f38 |
1033113400 has 96 divisors (see below), whose sum is σ = 2710875600. Its totient is φ = 362700800.
The previous prime is 1033113383. The next prime is 1033113407. The reversal of 1033113400 is 43113301.
1033113400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1033113407) 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, 55704 + ... + 71896.
Almost surely, 21033113400 is an apocalyptic number.
1033113400 is a gapful number since it is divisible by the number (10) 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 1033113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355437800).
1033113400 is an abundant number, since it is smaller than the sum of its proper divisors (1677762200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1033113400 is a wasteful number, since it uses less digits than its factorization.
1033113400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16249 (or 16240 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
The square root of 1033113400 is about 32142.0814509577. The cubic root of 1033113400 is about 1010.9181599459.
Adding to 1033113400 its reverse (43113301), we get a palindrome (1076226701).
Subtracting from 1033113400 its reverse (43113301), we obtain a palindrome (990000099).
The spelling of 1033113400 in words is "one billion, thirty-three million, one hundred thirteen thousand, four hundred".
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