Base | Representation |
---|---|
bin | 100110101001… |
… | …011101111000 |
3 | 201001201120002 |
4 | 212221131320 |
5 | 10043200240 |
6 | 1001052132 |
7 | 152054243 |
oct | 46513570 |
9 | 21051502 |
10 | 10131320 |
11 | 579a8a1 |
12 | 3487048 |
13 | 2139584 |
14 | 14ba25a |
15 | d51d15 |
hex | 9a9778 |
10131320 has 64 divisors (see below), whose sum is σ = 24727680. Its totient is φ = 3721216.
The previous prime is 10131311. The next prime is 10131323. The reversal of 10131320 is 2313101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10131323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31802 + ... + 32118.
It is an arithmetic number, because the mean of its divisors is an integer number (386370).
Almost surely, 210131320 is an apocalyptic number.
10131320 is a gapful number since it is divisible by the number (10) 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 10131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12363840).
10131320 is an abundant number, since it is smaller than the sum of its proper divisors (14596360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10131320 is a wasteful number, since it uses less digits than its factorization.
10131320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 392 (or 388 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 11.
The square root of 10131320 is about 3182.9734526069. The cubic root of 10131320 is about 216.3824386148.
Adding to 10131320 its reverse (2313101), we get a palindrome (12444421).
The spelling of 10131320 in words is "ten million, one hundred thirty-one thousand, three hundred twenty".
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