Base | Representation |
---|---|
bin | 1100010001110… |
… | …10110000011000 |
3 | 21011210222222000 |
4 | 12020322300120 |
5 | 202332013422 |
6 | 14115401000 |
7 | 2360331534 |
oct | 610726030 |
9 | 234728860 |
10 | 103001112 |
11 | 53161295 |
12 | 2a5b3160 |
13 | 18454806 |
14 | d972bc4 |
15 | 9098cac |
hex | 623ac18 |
103001112 has 64 divisors (see below), whose sum is σ = 287301600. Its totient is φ = 34191360.
The previous prime is 103001083. The next prime is 103001117. The reversal of 103001112 is 211100301.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 103001094 and 103001103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103001117) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59848 + ... + 61544.
Almost surely, 2103001112 is an apocalyptic number.
103001112 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 103001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143650800).
103001112 is an abundant number, since it is smaller than the sum of its proper divisors (184300488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103001112 is a wasteful number, since it uses less digits than its factorization.
103001112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1993 (or 1983 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 103001112 is about 10148.9463492522. The cubic root of 103001112 is about 468.7565016698.
Adding to 103001112 its reverse (211100301), we get a palindrome (314101413).
The spelling of 103001112 in words is "one hundred three million, one thousand, one hundred twelve".
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