| Base | Representation |
|---|---|
| bin | 1011111010111… |
| … | …10010000100000 |
| 3 | 20222011120022100 |
| 4 | 11331132100200 |
| 5 | 201100011200 |
| 6 | 13531210400 |
| 7 | 2322664344 |
| oct | 575362040 |
| 9 | 228146270 |
| 10 | 100000800 |
| 11 | 514a2099 |
| 12 | 295a6a00 |
| 13 | 17943c93 |
| 14 | d3d1624 |
| 15 | 8ba4d00 |
| hex | 5f5e420 |
100000800 has 432 divisors, whose sum is σ = 402161760. Its totient is φ = 23224320.
The previous prime is 100000799. The next prime is 100000801. The reversal of 100000800 is 8000001.
It is an interprime number because it is at equal distance from previous prime (100000799) and next prime (100000801).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (100000801) 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 71 ways as a sum of consecutive naturals, for example, 2325579 + ... + 2325621.
It is an arithmetic number, because the mean of its divisors is an integer number (930930).
Almost surely, 2100000800 is an apocalyptic number.
100000800 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 100000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201080880).
100000800 is an abundant number, since it is smaller than the sum of its proper divisors (302160960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100000800 is a wasteful number, since it uses less digits than its factorization.
100000800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 105 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 100000800 is about 10000.0399999200. The cubic root of 100000800 is about 464.1601211150.
Adding to 100000800 its reverse (8000001), we get a palindrome (108000801).
The spelling of 100000800 in words is "one hundred million, eight hundred", and thus it is an aban number.
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