| Base | Representation |
|---|---|
| bin | 10000001001110111000… |
| … | …111011100000101100000 |
| 3 | 10221010100202222222121022 |
| 4 | 100021313013130011200 |
| 5 | 121141441100013440 |
| 6 | 2205550051345012 |
| 7 | 143126212214645 |
| oct | 20116707340540 |
| 9 | 3833322888538 |
| 10 | 1110100001120 |
| 11 | 398877568360 |
| 12 | 15b18a2b2168 |
| 13 | 808b34098b6 |
| 14 | 3ba2ca1bdcc |
| 15 | 1dd22513cb5 |
| hex | 102771dc160 |
1110100001120 has 768 divisors, whose sum is σ = 3166008975360. Its totient is φ = 363737088000.
The previous prime is 1110100001119. The next prime is 1110100001149. The reversal of 1110100001120 is 211000010111.
It is a happy number.
It is a super-3 number, since 3×11101000011203 (a number of 37 digits) contains 333 as substring.
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 = 1110100001098 and 1110100001107.
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 127 ways as a sum of consecutive naturals, for example, 10184403626 + ... + 10184403734.
It is an arithmetic number, because the mean of its divisors is an integer number (4122407520).
Almost surely, 21110100001120 is an apocalyptic number.
1110100001120 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 1110100001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583004487680).
1110100001120 is an abundant number, since it is smaller than the sum of its proper divisors (2055908974240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1110100001120 is a wasteful number, since it uses less digits than its factorization.
1110100001120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 359 (or 351 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 8.
Adding to 1110100001120 its reverse (211000010111), we get a palindrome (1321100011231).
The spelling of 1110100001120 in words is "one trillion, one hundred ten billion, one hundred million, one thousand, one hundred twenty".
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