Base | Representation |
---|---|
bin | 100110101001… |
… | …011001100100 |
3 | 201001201011212 |
4 | 212221121210 |
5 | 10043143134 |
6 | 1001050552 |
7 | 152053400 |
oct | 46513144 |
9 | 21051155 |
10 | 10131044 |
11 | 579a670 |
12 | 3486a58 |
13 | 2139401 |
14 | 14ba100 |
15 | d51bce |
hex | 9a9664 |
10131044 has 72 divisors (see below), whose sum is σ = 23288832. Its totient is φ = 3810240.
The previous prime is 10131041. The next prime is 10131071. The reversal of 10131044 is 44013101.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is not an unprimeable number, because it can be changed into a prime (10131041) 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 23 ways as a sum of consecutive naturals, for example, 79709 + ... + 79835.
It is an arithmetic number, because the mean of its divisors is an integer number (323456).
Almost surely, 210131044 is an apocalyptic number.
10131044 is a gapful number since it is divisible by the number (14) 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 10131044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644416).
10131044 is an abundant number, since it is smaller than the sum of its proper divisors (13157788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10131044 is a wasteful number, since it uses less digits than its factorization.
10131044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 193 (or 184 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 10131044 is about 3182.9300966248. The cubic root of 10131044 is about 216.3804736818.
Adding to 10131044 its reverse (44013101), we get a palindrome (54144145).
The spelling of 10131044 in words is "ten million, one hundred thirty-one thousand, forty-four".
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