Base | Representation |
---|---|
bin | 1011111011111… |
… | …10000100111100 |
3 | 20222102012002110 |
4 | 11331332010330 |
5 | 201113144012 |
6 | 13534054020 |
7 | 2324046333 |
oct | 575760474 |
9 | 228365073 |
10 | 100131132 |
11 | 51581002 |
12 | 2964a310 |
13 | 1798b3ba |
14 | d426d1a |
15 | 8bcd73c |
hex | 5f7e13c |
100131132 has 24 divisors (see below), whose sum is σ = 233874256. Its totient is φ = 33343488.
The previous prime is 100131127. The next prime is 100131149. The reversal of 100131132 is 231131001.
It is a Harshad number since it is a multiple of its sum of digits (12).
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 7 ways as a sum of consecutive naturals, for example, 10218 + ... + 17454.
Almost surely, 2100131132 is an apocalyptic number.
100131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
100131132 is an abundant number, since it is smaller than the sum of its proper divisors (133743124).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100131132 is a wasteful number, since it uses less digits than its factorization.
100131132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8397 (or 8395 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 12.
The square root of 100131132 is about 10006.5544519580. The cubic root of 100131132 is about 464.3616816849.
Adding to 100131132 its reverse (231131001), we get a palindrome (331262133).
The spelling of 100131132 in words is "one hundred million, one hundred thirty-one thousand, one hundred thirty-two".
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