| Base | Representation |
|---|---|
| bin | 10100011111010100… |
| … | …00011110011101000 |
| 3 | 1001101121122002022122 |
| 4 | 22033222003303220 |
| 5 | 140012011231440 |
| 6 | 5015310210412 |
| 7 | 536410216400 |
| oct | 121752036350 |
| 9 | 31347562278 |
| 10 | 11000102120 |
| 11 | 47352a8597 |
| 12 | 216bab3a08 |
| 13 | 1063c61c87 |
| 14 | 764cd9800 |
| 15 | 445aae7b5 |
| hex | 28fa83ce8 |
11000102120 has 96 divisors (see below), whose sum is σ = 28896448680. Its totient is φ = 3757662720.
The previous prime is 11000102119. The next prime is 11000102129. The reversal of 11000102120 is 2120100011.
11000102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 3409859236 + 7590242884 = 58394^2 + 87122^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a junction number, because it is equal to n+sod(n) for n = 11000102098 and 11000102107.
It is not an unprimeable number, because it can be changed into a prime (11000102129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532790 + ... + 553050.
Almost surely, 211000102120 is an apocalyptic number.
11000102120 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 11000102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14448224340).
11000102120 is an abundant number, since it is smaller than the sum of its proper divisors (17896346560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11000102120 is a wasteful number, since it uses less digits than its factorization.
11000102120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20563 (or 20552 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 8.
Adding to 11000102120 its reverse (2120100011), we get a palindrome (13120202131).
The spelling of 11000102120 in words is "eleven billion, one hundred two thousand, one hundred twenty".
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