| Base | Representation |
|---|---|
| bin | 1101010011101… |
| … | …00111101011101 |
| 3 | 21210001022000000 |
| 4 | 12221310331131 |
| 5 | 212034100000 |
| 6 | 15024324513 |
| 7 | 2523552300 |
| oct | 651647535 |
| 9 | 253038000 |
| 10 | 111628125 |
| 11 | 58013954 |
| 12 | 31473739 |
| 13 | 1a18545b |
| 14 | 10b7ab37 |
| 15 | 9c00000 |
| hex | 6a74f5d |
111628125 has 126 divisors (see below), whose sum is σ = 243347706. Its totient is φ = 51030000.
The previous prime is 111628091. The next prime is 111628133. The reversal of 111628125 is 521826111.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
111628125 is a `hidden beast` number, since 1 + 11 + 628 + 1 + 25 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 51581124 + 60047001 = 7182^2 + 7749^2 .
It is not a de Polignac number, because 111628125 - 26 = 111628061 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
Its product of digits (960) is a multiple of the sum of its prime divisors (15).
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 125 ways as a sum of consecutive naturals, for example, 15946872 + ... + 15946878.
It is an arithmetic number, because the mean of its divisors is an integer number (1931331).
Almost surely, 2111628125 is an apocalyptic number.
111628125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
It is an amenable number.
111628125 is an abundant number, since it is smaller than the sum of its proper divisors (131719581).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111628125 is an frugal number, since it uses more digits than its factorization.
111628125 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57 (or 15 counting only the distinct ones).
The product of its digits is 960, while the sum is 27.
The square root of 111628125 is about 10565.4211936865. The cubic root of 111628125 is about 481.4943662543.
It can be divided in two parts, 1116 and 28125, that added together give a square (29241 = 1712).
The spelling of 111628125 in words is "one hundred eleven million, six hundred twenty-eight thousand, one hundred twenty-five".
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