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10116041 = 132926833
BaseRepresentation
bin100110100101…
…101111001001
3201000221121012
4212211233021
510042203131
61000453305
7151661555
oct46455711
921027535
1010116041
11578a371
12347a235
132132630
1414b4865
15d4c52b
hex9a5bc9

10116041 has 8 divisors (see below), whose sum is σ = 11270280. Its totient is φ = 9015552.

The previous prime is 10116031. The next prime is 10116047. The reversal of 10116041 is 14061101.

10116041 is digitally balanced in base 3, 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 4 ways, for example, as 10000 + 10106041 = 100^2 + 3179^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10116041 - 222 = 5921737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10116047) 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 7 ways as a sum of consecutive naturals, for example, 13040 + ... + 13793.

It is an arithmetic number, because the mean of its divisors is an integer number (1408785).

Almost surely, 210116041 is an apocalyptic number.

It is an amenable number.

10116041 is a deficient number, since it is larger than the sum of its proper divisors (1154239).

10116041 is a wasteful number, since it uses less digits than its factorization.

10116041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26875.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 10116041 is about 3180.5724327548. The cubic root of 10116041 is about 216.2736087470.

Adding to 10116041 its reverse (14061101), we get a palindrome (24177142).

The spelling of 10116041 in words is "ten million, one hundred sixteen thousand, forty-one".

Divisors: 1 13 29 377 26833 348829 778157 10116041