| Base | Representation |
|---|---|
| bin | 1101010001110… |
| … | …00011110110000 |
| 3 | 21202120201012000 |
| 4 | 12220320132300 |
| 5 | 212003133100 |
| 6 | 15015134000 |
| 7 | 2521501125 |
| oct | 650703660 |
| 9 | 252521160 |
| 10 | 111380400 |
| 11 | 5796481a |
| 12 | 31374300 |
| 13 | 1a0c9781 |
| 14 | 10b1474c |
| 15 | 9ba1900 |
| hex | 6a387b0 |
111380400 has 120 divisors (see below), whose sum is σ = 396470160. Its totient is φ = 29698560.
The previous prime is 111380383. The next prime is 111380417. The reversal of 111380400 is 4083111.
It is an interprime number because it is at equal distance from previous prime (111380383) and next prime (111380417).
It is a tau number, because it is divible by the number of its divisors (120).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5644 + ... + 15956.
It is an arithmetic number, because the mean of its divisors is an integer number (3303918).
Almost surely, 2111380400 is an apocalyptic number.
111380400 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 111380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198235080).
111380400 is an abundant number, since it is smaller than the sum of its proper divisors (285089760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111380400 is a wasteful number, since it uses less digits than its factorization.
111380400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10340 (or 10323 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 111380400 is about 10553.6912973613. The cubic root of 111380400 is about 481.1379252145.
The spelling of 111380400 in words is "one hundred eleven million, three hundred eighty thousand, four hundred".
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