| Base | Representation |
|---|---|
| bin | 1010000111100111111111… |
| … | …1101100100000000000000 |
| 3 | 1110101122102212220020110000 |
| 4 | 2201321333331210000000 |
| 5 | 2424242234202010222 |
| 6 | 35355133152240000 |
| 7 | 2225556300534600 |
| oct | 241717775440000 |
| 9 | 43348385806400 |
| 10 | 11126112141312 |
| 11 | 35aa615279293 |
| 12 | 12b8394540000 |
| 13 | 6292599ac08c |
| 14 | 2a671455cc00 |
| 15 | 1446380499ac |
| hex | a1e7ff64000 |
11126112141312 has 1800 divisors, whose sum is σ = 41525041352256. Its totient is φ = 2952795783168.
The previous prime is 11126112141301. The next prime is 11126112141323. The reversal of 11126112141312 is 21314121162111.
11126112141312 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 611 + 2 + 1 + 41 + 3 + 1 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (11126112141301) and next prime (11126112141323).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is an insolite number, because it is divisible by the sum (81) and by the product (331776) of the squares of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64312786858 + ... + 64312787030.
Almost surely, 211126112141312 is an apocalyptic number.
11126112141312 is a gapful number since it is divisible by the number (12) 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 11126112141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20762520676128).
11126112141312 is an abundant number, since it is smaller than the sum of its proper divisors (30398929210944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11126112141312 is an equidigital number, since it uses as much as digits as its factorization.
11126112141312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 293 (or 251 counting only the distinct ones).
The product of its digits is 576, while the sum is 27.
The spelling of 11126112141312 in words is "eleven trillion, one hundred twenty-six billion, one hundred twelve million, one hundred forty-one thousand, three hundred twelve".
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