Base | Representation |
---|---|
bin | 101110100100010010… |
… | …1010110110101001000 |
3 | 100120010022101222000012 |
4 | 1131020211112311020 |
5 | 3114301003001300 |
6 | 113535033531052 |
7 | 10140066655664 |
oct | 1351045266510 |
9 | 316108358005 |
10 | 100002000200 |
11 | 39457581963 |
12 | 1746a573a88 |
13 | 957905ccab |
14 | 4ba94218a4 |
15 | 29044d2435 |
hex | 1748956d48 |
100002000200 has 96 divisors (see below), whose sum is σ = 246588134760. Its totient is φ = 37585612800.
The previous prime is 100002000199. The next prime is 100002000209. The reversal of 100002000200 is 2000200001.
It can be written as a sum of positive squares in 12 ways, for example, as 876515236 + 99125484964 = 29606^2 + 314842^2 .
It is a Harshad number since it is a multiple of its sum of digits (5).
100002000200 is a modest number, since divided by 2000200 gives 1000 as remainder.
It is not an unprimeable number, because it can be changed into a prime (100002000209) 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 23 ways as a sum of consecutive naturals, for example, 2060210 + ... + 2108190.
Almost surely, 2100002000200 is an apocalyptic number.
100002000200 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 100002000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123294067380).
100002000200 is an abundant number, since it is smaller than the sum of its proper divisors (146586134560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100002000200 is a wasteful number, since it uses less digits than its factorization.
100002000200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 48627 (or 48618 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 5.
Adding to 100002000200 its reverse (2000200001), we get a palindrome (102002200201).
The spelling of 100002000200 in words is "one hundred billion, two million, two hundred", and thus it is an aban number.
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