Base | Representation |
---|---|
bin | 101110100100001110… |
… | …1110000111100010000 |
3 | 100120010011122211222002 |
4 | 1131020131300330100 |
5 | 3114300000310000 |
6 | 113534523133132 |
7 | 10140044026442 |
oct | 1351035607420 |
9 | 316104584862 |
10 | 100000010000 |
11 | 39456442670 |
12 | 174699741a8 |
13 | 9578814167 |
14 | 4ba9064492 |
15 | 290423c8d5 |
hex | 1748770f10 |
100000010000 has 100 divisors (see below), whose sum is σ = 264120316944. Its totient is φ = 36363600000.
The previous prime is 100000009997. The next prime is 100000010039. The reversal of 100000010000 is 10000001.
100000010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a sliding number, since 100000010000 = 10000 + 100000000000 and 1/10000 + 1/100000000000 = 0.000100000010000.
It is a tau number, because it is divible by the number of its divisors (100).
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 an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 344546 + ... + 564545.
Almost surely, 2100000010000 is an apocalyptic number.
100000010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
100000010000 is an abundant number, since it is smaller than the sum of its proper divisors (164120306944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100000010000 is an equidigital number, since it uses as much as digits as its factorization.
100000010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 909130 (or 909109 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 2.
Adding to 100000010000 its reverse (10000001), we get a palindrome (100010010001).
Subtracting from 100000010000 its reverse (10000001), we obtain a palindrome (99990009999).
100000010000 divided by its reverse (10000001) gives a 4-th power (10000 = 104).
The spelling of 100000010000 in words is "one hundred billion, ten thousand".
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