Base | Representation |
---|---|
bin | 101110100100100100… |
… | …0000110111001110000 |
3 | 100120010221112210022012 |
4 | 1131021020012321300 |
5 | 3114310321010000 |
6 | 113540001102052 |
7 | 10140240260114 |
oct | 1351110067160 |
9 | 316127483265 |
10 | 100011110000 |
11 | 3946173421a |
12 | 17471627928 |
13 | 957abcc5c9 |
14 | 4baa713744 |
15 | 29051d1735 |
hex | 1749206e70 |
100011110000 has 100 divisors (see below), whose sum is σ = 242724959400. Its totient is φ = 39907296000.
The previous prime is 100011109999. The next prime is 100011110021. The reversal of 100011110000 is 11110001.
100011110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 (5).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4178066 + ... + 4201934.
It is an arithmetic number, because the mean of its divisors is an integer number (2427249594).
Almost surely, 2100011110000 is an apocalyptic number.
100011110000 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 100011110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121362479700).
100011110000 is an abundant number, since it is smaller than the sum of its proper divisors (142713849400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100011110000 is an equidigital number, since it uses as much as digits as its factorization.
100011110000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 24316 (or 24295 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 5.
Adding to 100011110000 its reverse (11110001), we get a palindrome (100022220001).
Subtracting from 100011110000 its reverse (11110001), we obtain a palindrome (99999999999).
The spelling of 100011110000 in words is "one hundred billion, eleven million, one hundred ten thousand".
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