| Base | Representation |
|---|---|
| bin | 11101011011010101101… |
| … | …11000000101001000000 |
| 3 | 10120122212000001222221222 |
| 4 | 32231222313000221000 |
| 5 | 113031223142320000 |
| 6 | 2052255250534212 |
| 7 | 133023152133311 |
| oct | 16555267005100 |
| 9 | 3518760058858 |
| 10 | 1011110120000 |
| 11 | 35a89a337552 |
| 12 | 143b62897368 |
| 13 | 74468c6b046 |
| 14 | 36d1bbc0608 |
| 15 | 1b47bd08a85 |
| hex | eb6adc0a40 |
1011110120000 has 140 divisors (see below), whose sum is σ = 2509718742300. Its totient is φ = 404041728000.
The previous prime is 1011110119939. The next prime is 1011110120057. The reversal of 1011110120000 is 210111101.
It is a happy number.
It can be written as a sum of positive squares in 10 ways, for example, as 392697742336 + 618412377664 = 626656^2 + 786392^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 1011110120000.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41947952 + ... + 41972048.
It is an arithmetic number, because the mean of its divisors is an integer number (17926562445).
Almost surely, 21011110120000 is an apocalyptic number.
1011110120000 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 1011110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254859371150).
1011110120000 is an abundant number, since it is smaller than the sum of its proper divisors (1498608622300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1011110120000 is an equidigital number, since it uses as much as digits as its factorization.
1011110120000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 25178 (or 25153 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 8.
Adding to 1011110120000 its reverse (210111101), we get a palindrome (1011320231101).
It can be divided in two parts, 1011 and 110120000, that added together give a palindrome (110121011).
The spelling of 1011110120000 in words is "one trillion, eleven billion, one hundred ten million, one hundred twenty thousand".
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