Base | Representation |
---|---|
bin | 100110101001… |
… | …101010010100 |
3 | 201001202122120 |
4 | 212221222110 |
5 | 10043211431 |
6 | 1001055540 |
7 | 152056461 |
oct | 46515224 |
9 | 21052576 |
10 | 10132116 |
11 | 57a0455 |
12 | 34875b0 |
13 | 2139a47 |
14 | 14ba668 |
15 | d52196 |
hex | 9a9a94 |
10132116 has 48 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 3258112.
The previous prime is 10132103. The next prime is 10132139. The reversal of 10132116 is 61123101.
It is a junction number, because it is equal to n+sod(n) for n = 10132095 and 10132104.
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 56515 + ... + 56693.
It is an arithmetic number, because the mean of its divisors is an integer number (510300).
Almost surely, 210132116 is an apocalyptic number.
It is an amenable number.
10132116 is an abundant number, since it is smaller than the sum of its proper divisors (14362284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10132116 is a wasteful number, since it uses less digits than its factorization.
10132116 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 328 (or 326 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 15.
The square root of 10132116 is about 3183.0984904649. The cubic root of 10132116 is about 216.3881053957.
Adding to 10132116 its reverse (61123101), we get a palindrome (71255217).
The spelling of 10132116 in words is "ten million, one hundred thirty-two thousand, one hundred sixteen".
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