| Base | Representation |
|---|---|
| bin | 11101011011001000101… |
| … | …11001011010111000000 |
| 3 | 10120122120101221211002122 |
| 4 | 32231210113023113000 |
| 5 | 113031012241041000 |
| 6 | 2052240354303412 |
| 7 | 133020356442605 |
| oct | 16554427132700 |
| 9 | 3518511854078 |
| 10 | 1011001112000 |
| 11 | 35a8438531a0 |
| 12 | 143b32287b68 |
| 13 | 7444c4c2379 |
| 14 | 36d0b5266ac |
| 15 | 1b472475085 |
| hex | eb645cb5c0 |
1011001112000 has 224 divisors, whose sum is σ = 2758424760000. Its totient is φ = 363993600000.
The previous prime is 1011001111997. The next prime is 1011001112003. The reversal of 1011001112000 is 2111001101.
It is a happy number.
1011001112000 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 (1011001111997) and next prime (1011001112003).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1011001112003) 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, 8831126 + ... + 8944874.
It is an arithmetic number, because the mean of its divisors is an integer number (12314396250).
Almost surely, 21011001112000 is an apocalyptic number.
1011001112000 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 1011001112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379212380000).
1011001112000 is an abundant number, since it is smaller than the sum of its proper divisors (1747423648000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1011001112000 is a wasteful number, since it uses less digits than its factorization.
1011001112000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 113888 (or 113868 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 8.
Adding to 1011001112000 its reverse (2111001101), we get a palindrome (1013112113101).
The spelling of 1011001112000 in words is "one trillion, eleven billion, one million, one hundred twelve thousand".
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