| Base | Representation |
|---|---|
| bin | 1010000001010001110100… |
| … | …1000111100111000000000 |
| 3 | 1110000020000020200120121000 |
| 4 | 2200110131020330320000 |
| 5 | 2421000434440000000 |
| 6 | 35233102055132000 |
| 7 | 2214646340610564 |
| oct | 240243510747000 |
| 9 | 43006006616530 |
| 10 | 11017080000000 |
| 11 | 3568354499798 |
| 12 | 129b225974000 |
| 13 | 61bba1b77829 |
| 14 | 2a132db1b6a4 |
| 15 | 1418a5dd5000 |
| hex | a051d23ce00 |
11017080000000 has 960 divisors, whose sum is σ = 41171648506560. Its totient is φ = 2908800000000.
The previous prime is 11017079999921. The next prime is 11017080000001. The reversal of 11017080000000 is 8071011.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (960).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11017080000001) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109079999950 + ... + 109080000050.
It is an arithmetic number, because the mean of its divisors is an integer number (42887133861).
Almost surely, 211017080000000 is an apocalyptic number.
11017080000000 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 11017080000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20585824253280).
11017080000000 is an abundant number, since it is smaller than the sum of its proper divisors (30154568506560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11017080000000 is an frugal number, since it uses more digits than its factorization.
11017080000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 264 (or 111 counting only the distinct ones).
The product of its (nonzero) digits is 56, while the sum is 18.
Adding to 11017080000000 its reverse (8071011), we get a palindrome (11017088071011).
The spelling of 11017080000000 in words is "eleven trillion, seventeen billion, eighty million", and thus it is an aban number and an uban number.
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