Base | Representation |
---|---|
bin | 1011111101011… |
… | …10101000010000 |
3 | 20222210021212221 |
4 | 11332232220100 |
5 | 201141030000 |
6 | 13542230424 |
7 | 2325535201 |
oct | 576565020 |
9 | 228707787 |
10 | 100330000 |
11 | 516a7461 |
12 | 29725414 |
13 | 17a2aa84 |
14 | d4795a8 |
15 | 8c1c61a |
hex | 5faea10 |
100330000 has 100 divisors (see below), whose sum is σ = 247920640. Its totient is φ = 39312000.
The previous prime is 100329953. The next prime is 100330001. The reversal of 100330000 is 33001.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (100).
It is a super-2 number, since 2×1003300002 = 20132217800000000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100330001) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 789937 + ... + 790063.
Almost surely, 2100330000 is an apocalyptic number.
100330000 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 100330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123960320).
100330000 is an abundant number, since it is smaller than the sum of its proper divisors (147590640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100330000 is an equidigital number, since it uses as much as digits as its factorization.
100330000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 234 (or 213 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 7.
The square root of 100330000 is about 10016.4864099144. The cubic root of 100330000 is about 464.6688975281.
Adding to 100330000 its reverse (33001), we get a palindrome (100363001).
The spelling of 100330000 in words is "one hundred million, three hundred thirty thousand".
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