| Base | Representation |
|---|---|
| bin | 111011101011000… |
| … | …001001111001000 |
| 3 | 2120202210211022000 |
| 4 | 323223001033020 |
| 5 | 4022242224000 |
| 6 | 243201431000 |
| 7 | 33544330050 |
| oct | 7353011710 |
| 9 | 2522724260 |
| 10 | 1001133000 |
| 11 | 47412804a |
| 12 | 23b33b460 |
| 13 | 12c545aba |
| 14 | 96d64560 |
| 15 | 5cd57000 |
| hex | 3bac13c8 |
1001133000 has 256 divisors, whose sum is σ = 3967142400. Its totient is φ = 228787200.
The previous prime is 1001132989. The next prime is 1001133011. The reversal of 1001133000 is 3311001.
1001133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1001132989) and next prime (1001133011).
It is a Harshad number since it is a multiple of its sum of digits (9).
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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186352 + ... + 191648.
It is an arithmetic number, because the mean of its divisors is an integer number (15496650).
Almost surely, 21001133000 is an apocalyptic number.
1001133000 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 1001133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983571200).
1001133000 is an abundant number, since it is smaller than the sum of its proper divisors (2966009400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001133000 is a wasteful number, since it uses less digits than its factorization.
1001133000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5334 (or 5314 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 9.
The square root of 1001133000 is about 31640.6858332749. The cubic root of 1001133000 is about 1000.3775241243.
Adding to 1001133000 its reverse (3311001), we get a palindrome (1004444001).
The spelling of 1001133000 in words is "one billion, one million, one hundred thirty-three thousand".
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