Base | Representation |
---|---|
bin | 1100010011010… |
… | …00011010100100 |
3 | 21012011111111200 |
4 | 12021220122210 |
5 | 202404010012 |
6 | 14123402500 |
7 | 2362041015 |
oct | 611503244 |
9 | 235144450 |
10 | 103188132 |
11 | 53279853 |
12 | 2a683430 |
13 | 184bb988 |
14 | d9c100c |
15 | 90d43dc |
hex | 62686a4 |
103188132 has 72 divisors (see below), whose sum is σ = 269068800. Its totient is φ = 33324480.
The previous prime is 103188101. The next prime is 103188157. The reversal of 103188132 is 231881301.
It is a junction number, because it is equal to n+sod(n) for n = 103188096 and 103188105.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 295494 + ... + 295842.
Almost surely, 2103188132 is an apocalyptic number.
103188132 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 103188132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134534400).
103188132 is an abundant number, since it is smaller than the sum of its proper divisors (165880668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103188132 is a wasteful number, since it uses less digits than its factorization.
103188132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 593 (or 588 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 103188132 is about 10158.1559350110. The cubic root of 103188132 is about 469.0400385286.
The spelling of 103188132 in words is "one hundred three million, one hundred eighty-eight thousand, one hundred thirty-two".
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