| Base | Representation |
|---|---|
| bin | 111011101010100… |
| … | …001000010001100 |
| 3 | 2120202120010100211 |
| 4 | 323222201002030 |
| 5 | 4022224013400 |
| 6 | 243154532204 |
| 7 | 33543240361 |
| oct | 7352410214 |
| 9 | 2522503324 |
| 10 | 1001001100 |
| 11 | 474047a40 |
| 12 | 23b297064 |
| 13 | 12c4caa58 |
| 14 | 96d2c468 |
| 15 | 5cd2cdba |
| hex | 3baa108c |
1001001100 has 72 divisors (see below), whose sum is σ = 2399846400. Its totient is φ = 359361600.
The previous prime is 1001001061. The next prime is 1001001119. The reversal of 1001001100 is 11001001.
It is a Harshad number since it is a multiple of its sum of digits (4).
It is a self number, because there is not a number n which added to its sum of digits gives 1001001100.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81141 + ... + 92659.
It is an arithmetic number, because the mean of its divisors is an integer number (33331200).
Almost surely, 21001001100 is an apocalyptic number.
1001001100 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 1001001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199923200).
1001001100 is an abundant number, since it is smaller than the sum of its proper divisors (1398845300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001001100 is a wasteful number, since it uses less digits than its factorization.
1001001100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11623 (or 11616 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 4.
The square root of 1001001100 is about 31638.6014229454. The cubic root of 1001001100 is about 1000.3335887062. Note that the first 3 decimals are identical.
Adding to 1001001100 its reverse (11001001), we get a palindrome (1012002101).
Subtracting from 1001001100 its reverse (11001001), we obtain a palindrome (990000099).
The spelling of 1001001100 in words is "one billion, one million, one thousand, one hundred".
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