| Base | Representation |
|---|---|
| bin | 100000110010001… |
| … | …0111011000100000 |
| 3 | 2211122221102122200 |
| 4 | 1001210113120200 |
| 5 | 4223103131000 |
| 6 | 301053533200 |
| 7 | 36155200455 |
| oct | 10144273040 |
| 9 | 2748842580 |
| 10 | 1100052000 |
| 11 | 514a50393 |
| 12 | 2684a4200 |
| 13 | 146b9b558 |
| 14 | a615382c |
| 15 | 66896500 |
| hex | 41917620 |
1100052000 has 144 divisors (see below), whose sum is σ = 3904212312. Its totient is φ = 293337600.
The previous prime is 1100051993. The next prime is 1100052001. The reversal of 1100052000 is 2500011.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 104775696 + 995276304 = 10236^2 + 31548^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×11000520002 = 2420228805408000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (1100052001) 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 23 ways as a sum of consecutive naturals, for example, 20722 + ... + 51278.
Almost surely, 21100052000 is an apocalyptic number.
1100052000 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 1100052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952106156).
1100052000 is an abundant number, since it is smaller than the sum of its proper divisors (2804160312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100052000 is a wasteful number, since it uses less digits than its factorization.
1100052000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30588 (or 30567 counting only the distinct ones).
The product of its (nonzero) digits is 10, while the sum is 9.
The square root of 1100052000 is about 33167.0318237855. The cubic root of 1100052000 is about 1032.2963814322.
Adding to 1100052000 its reverse (2500011), we get a palindrome (1102552011).
The spelling of 1100052000 in words is "one billion, one hundred million, fifty-two thousand".
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