Base | Representation |
---|---|
bin | 111011100110101… |
… | …100101001100100 |
3 | 2120200200021020202 |
4 | 323212230221210 |
5 | 4022000000400 |
6 | 243121250032 |
7 | 33531601121 |
oct | 7346545144 |
9 | 2520607222 |
10 | 1000000100 |
11 | 473523970 |
12 | 23aa93918 |
13 | 12c23a248 |
14 | 96b4b748 |
15 | 5cbd14d5 |
hex | 3b9aca64 |
1000000100 has 36 divisors (see below), whose sum is σ = 2367275568. Its totient is φ = 363636000.
The previous prime is 1000000097. The next prime is 1000000103. The reversal of 1000000100 is 10000001.
It is an interprime number because it is at equal distance from previous prime (1000000097) and next prime (1000000103).
It is a sliding number, since 1000000100 = 100 + 1000000000 and 1/100 + 1/1000000000 = 0.01000000100.
It is a Harshad number since it is a multiple of its sum of digits (2).
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 (1000000103) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453446 + ... + 455645.
Almost surely, 21000000100 is an apocalyptic number.
1000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1000000100 is an abundant number, since it is smaller than the sum of its proper divisors (1367275468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000000100 is a wasteful number, since it uses less digits than its factorization.
1000000100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 909116 (or 909109 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 2.
The square root of 1000000100 is about 31622.7781828226. The cubic root of 1000000100 is about 1000.0000333333. Note that the first 4 decimals are identical.
Adding to 1000000100 its reverse (10000001), we get a palindrome (1010000101).
Subtracting from 1000000100 its reverse (10000001), we obtain a palindrome (990000099).
1000000100 divided by its reverse (10000001) gives a square (100 = 102).
The spelling of 1000000100 in words is "one billion, one hundred", and thus it is an aban number.
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