Base | Representation |
---|---|
bin | 1011111101001… |
… | …11010101000000 |
3 | 20222201202212101 |
4 | 11332213111000 |
5 | 201134100341 |
6 | 13541440144 |
7 | 2325352051 |
oct | 576472500 |
9 | 228652771 |
10 | 100300096 |
11 | 51686a46 |
12 | 29710054 |
13 | 17a1a290 |
14 | d46c728 |
15 | 8c13831 |
hex | 5fa7540 |
100300096 has 56 divisors (see below), whose sum is σ = 221787720. Its totient is φ = 44685312.
The previous prime is 100300093. The next prime is 100300099. The reversal of 100300096 is 690003001.
It is an interprime number because it is at equal distance from previous prime (100300093) and next prime (100300099).
It can be written as a sum of positive squares in 4 ways, for example, as 3474496 + 96825600 = 1864^2 + 9840^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100300093) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22050 + ... + 26206.
It is an arithmetic number, because the mean of its divisors is an integer number (3960495).
Almost surely, 2100300096 is an apocalyptic number.
100300096 is a gapful number since it is divisible by the number (16) 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 100300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110893860).
100300096 is an abundant number, since it is smaller than the sum of its proper divisors (121487624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100300096 is a wasteful number, since it uses less digits than its factorization.
100300096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4211 (or 4201 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 19.
The square root of 100300096 is about 10014.9935596584. The cubic root of 100300096 is about 464.6227270923.
Adding to 100300096 its reverse (690003001), we get a palindrome (790303097).
The spelling of 100300096 in words is "one hundred million, three hundred thousand, ninety-six".
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