| Base | Representation |
|---|---|
| bin | 101110100100100010… |
| … | …0010011010000000000 |
| 3 | 100120010212200002022020 |
| 4 | 1131021010103100000 |
| 5 | 3114310042041000 |
| 6 | 113535523441440 |
| 7 | 10140225632361 |
| oct | 1351104232000 |
| 9 | 316125602266 |
| 10 | 100010112000 |
| 11 | 39461112427 |
| 12 | 17471226280 |
| 13 | 957a940286 |
| 14 | 4baa533b68 |
| 15 | 2905085ba0 |
| hex | 1749113400 |
100010112000 has 352 divisors, whose sum is σ = 341710786560. Its totient is φ = 25944883200.
The previous prime is 100010111989. The next prime is 100010112001. The reversal of 100010112000 is 211010001.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 100010112000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100010112001) 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, 14204481 + ... + 14211519.
It is an arithmetic number, because the mean of its divisors is an integer number (970769280).
Almost surely, 2100010112000 is an apocalyptic number.
100010112000 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 100010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170855393280).
100010112000 is an abundant number, since it is smaller than the sum of its proper divisors (241700674560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100010112000 is an equidigital number, since it uses as much as digits as its factorization.
100010112000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7114 (or 7086 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
Adding to 100010112000 its reverse (211010001), we get a palindrome (100221122001).
It can be divided in two parts, 1000101 and 12000, that added together give a palindrome (1012101).
The spelling of 100010112000 in words is "one hundred billion, ten million, one hundred twelve thousand".
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