| Base | Representation |
|---|---|
| bin | 111100001101010… |
| … | …001011000000000 |
| 3 | 2121101201000011120 |
| 4 | 330031101120000 |
| 5 | 4032042041000 |
| 6 | 244122112240 |
| 7 | 34013544642 |
| oct | 7415213000 |
| 9 | 2541630146 |
| 10 | 1010112000 |
| 11 | 479200107 |
| 12 | 24234b680 |
| 13 | 13136aa11 |
| 14 | 98220892 |
| 15 | 5da2c6a0 |
| hex | 3c351600 |
1010112000 has 160 divisors (see below), whose sum is σ = 3359008224. Its totient is φ = 269312000.
The previous prime is 1010111989. The next prime is 1010112007. The reversal of 1010112000 is 2110101.
It is a tau number, because it is divible by the number of its divisors (160).
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 1010112000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1010112007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189370 + ... + 194630.
Almost surely, 21010112000 is an apocalyptic number.
1010112000 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 1010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679504112).
1010112000 is an abundant number, since it is smaller than the sum of its proper divisors (2348896224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010112000 is an frugal number, since it uses more digits than its factorization.
1010112000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5297 (or 5271 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
The square root of 1010112000 is about 31782.2592022657. The cubic root of 1010112000 is about 1003.3593686716.
Adding to 1010112000 its reverse (2110101), we get a palindrome (1012222101).
The spelling of 1010112000 in words is "one billion, ten million, one hundred twelve thousand".
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