Base | Representation |
---|---|
bin | 1000100101110… |
… | …0111001100101 |
3 | 2111210121202021 |
4 | 2021130321211 |
5 | 33211011401 |
6 | 3324143141 |
7 | 615160600 |
oct | 211347145 |
9 | 74717667 |
10 | 36032101 |
11 | 193804a6 |
12 | 10097ab1 |
13 | 7607791 |
14 | 4add337 |
15 | 326b2a1 |
hex | 225ce65 |
36032101 has 12 divisors (see below), whose sum is σ = 42014700. Its totient is φ = 30811200.
The previous prime is 36032093. The next prime is 36032107. The reversal of 36032101 is 10123063.
36032101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 31911201 + 4120900 = 5649^2 + 2030^2 .
It is not a de Polignac number, because 36032101 - 23 = 36032093 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36032107) 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 11 ways as a sum of consecutive naturals, for example, 33825 + ... + 34873.
It is an arithmetic number, because the mean of its divisors is an integer number (3501225).
Almost surely, 236032101 is an apocalyptic number.
It is an amenable number.
36032101 is a deficient number, since it is larger than the sum of its proper divisors (5982599).
36032101 is a wasteful number, since it uses less digits than its factorization.
36032101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1764 (or 1757 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
The square root of 36032101 is about 6002.6744872598. The cubic root of 36032101 is about 330.2908394053.
Adding to 36032101 its reverse (10123063), we get a palindrome (46155164).
The spelling of 36032101 in words is "thirty-six million, thirty-two thousand, one hundred one".
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