Base | Representation |
---|---|
bin | 111011100110101… |
… | …100101000010100 |
3 | 2120200200021010210 |
4 | 323212230220110 |
5 | 4022000000040 |
6 | 243121245420 |
7 | 33531600645 |
oct | 7346545024 |
9 | 2520607123 |
10 | 1000000020 |
11 | 4735238a8 |
12 | 23aa93870 |
13 | 12c23a1b6 |
14 | 96b4b6cc |
15 | 5cbd1480 |
hex | 3b9aca14 |
1000000020 has 96 divisors (see below), whose sum is σ = 2953843200. Its totient is φ = 252077184.
The previous prime is 1000000009. The next prime is 1000000021. The reversal of 1000000020 is 200000001.
1000000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (3).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 999999951 and 1000000014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1000000021) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841867 + ... + 843053.
It is an arithmetic number, because the mean of its divisors is an integer number (30769200).
Almost surely, 21000000020 is an apocalyptic number.
1000000020 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 1000000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476921600).
1000000020 is an abundant number, since it is smaller than the sum of its proper divisors (1953843180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000000020 is a wasteful number, since it uses less digits than its factorization.
1000000020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1957 (or 1955 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 3.
The square root of 1000000020 is about 31622.7769179116. The cubic root of 1000000020 is about 1000.0000066667. Note that the first 5 decimals are identical.
Adding to 1000000020 its reverse (200000001), we get a palindrome (1200000021).
The spelling of 1000000020 in words is "one billion, twenty", and thus it is an aban number and an uban number.
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