| Base | Representation |
|---|---|
| bin | 10100111000110111… |
| … | …00010111011000100 |
| 3 | 1001221112212121102100 |
| 4 | 22130123202323010 |
| 5 | 140431341314340 |
| 6 | 5052443312100 |
| 7 | 544621560201 |
| oct | 123433427304 |
| 9 | 31845777370 |
| 10 | 11214401220 |
| 11 | 4835267690 |
| 12 | 220b81b630 |
| 13 | 1099484889 |
| 14 | 785560ca8 |
| 15 | 4597e0830 |
| hex | 29c6e2ec4 |
11214401220 has 288 divisors, whose sum is σ = 39453837696. Its totient is φ = 2548224000.
The previous prime is 11214401189. The next prime is 11214401273. The reversal of 11214401220 is 2210441211.
11214401220 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 440 + 1 + 220 = 666.
11214401220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 11214401193 and 11214401202.
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 95 ways as a sum of consecutive naturals, for example, 10669695 + ... + 10670745.
It is an arithmetic number, because the mean of its divisors is an integer number (136992492).
Almost surely, 211214401220 is an apocalyptic number.
11214401220 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 11214401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19726918848).
11214401220 is an abundant number, since it is smaller than the sum of its proper divisors (28239436476).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11214401220 is a wasteful number, since it uses less digits than its factorization.
11214401220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1411 (or 1406 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 11214401220 its reverse (2210441211), we get a palindrome (13424842431).
The spelling of 11214401220 in words is "eleven billion, two hundred fourteen million, four hundred one thousand, two hundred twenty".
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