| Base | Representation |
|---|---|
| bin | 10100111001100001… |
| … | …11010000011111100 |
| 3 | 1001221221102002220100 |
| 4 | 22130300322003330 |
| 5 | 140434310013040 |
| 6 | 5053203321100 |
| 7 | 545020302144 |
| oct | 123460720374 |
| 9 | 31857362810 |
| 10 | 11220001020 |
| 11 | 4838441918 |
| 12 | 2211680190 |
| 13 | 109a695677 |
| 14 | 7861bb924 |
| 15 | 45a049b30 |
| hex | 29cc3a0fc |
11220001020 has 144 divisors (see below), whose sum is σ = 36087629760. Its totient is φ = 2811967488.
The previous prime is 11220001007. The next prime is 11220001033. The reversal of 11220001020 is 2010002211.
11220001020 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 (11220001007) and next prime (11220001033).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 11220000993 and 11220001011.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 2534529 + ... + 2538951.
It is an arithmetic number, because the mean of its divisors is an integer number (250608540).
Almost surely, 211220001020 is an apocalyptic number.
11220001020 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 11220001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18043814880).
11220001020 is an abundant number, since it is smaller than the sum of its proper divisors (24867628740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11220001020 is a wasteful number, since it uses less digits than its factorization.
11220001020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5284 (or 5279 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 11220001020 its reverse (2010002211), we get a palindrome (13230003231).
The spelling of 11220001020 in words is "eleven billion, two hundred twenty million, one thousand, twenty".
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