| Base | Representation |
|---|---|
| bin | 10010101011111010… |
| … | …00011100011100100 |
| 3 | 221220010222120101210 |
| 4 | 21111331003203210 |
| 5 | 131021143101200 |
| 6 | 4335244351420 |
| 7 | 503413423014 |
| oct | 112575034344 |
| 9 | 27803876353 |
| 10 | 10032003300 |
| 11 | 4288893620 |
| 12 | 1b3b845570 |
| 13 | c3b514237 |
| 14 | 6b24d3c44 |
| 15 | 3daad0650 |
| hex | 255f438e4 |
10032003300 has 144 divisors (see below), whose sum is σ = 31710470400. Its totient is φ = 2428483200.
The previous prime is 10032003281. The next prime is 10032003301. The reversal of 10032003300 is 330023001.
It is a happy number.
10032003300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×100320033002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (10032003301) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2832931 + ... + 2836469.
It is an arithmetic number, because the mean of its divisors is an integer number (220211600).
Almost surely, 210032003300 is an apocalyptic number.
10032003300 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 10032003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855235200).
10032003300 is an abundant number, since it is smaller than the sum of its proper divisors (21678467100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10032003300 is a wasteful number, since it uses less digits than its factorization.
10032003300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4426 (or 4419 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 12.
Adding to 10032003300 its reverse (330023001), we get a palindrome (10362026301).
The spelling of 10032003300 in words is "ten billion, thirty-two million, three thousand, three hundred".
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