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110013142241 = 2917326981517
BaseRepresentation
bin110011001110101001…
…0110101010011100001
3101111222000010200010202
41212131102311103201
53300301331022431
6122312255234545
710643141165012
oct1463522652341
9344860120122
10110013142241
1142724607072
12193a3218a55
13a4b314ba92
145478c45009
152cdd3418cb
hex199d4b54e1

110013142241 has 16 divisors (see below), whose sum is σ = 114891469200. Its totient is φ = 105211723008.

The previous prime is 110013142237. The next prime is 110013142243. The reversal of 110013142241 is 142241310011.

It can be written as a sum of positive squares in 8 ways, for example, as 12338766400 + 97674375841 = 111080^2 + 312529^2 .

It is a cyclic number.

It is not a de Polignac number, because 110013142241 - 22 = 110013142237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110013142243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308815 + ... + 1390331.

It is an arithmetic number, because the mean of its divisors is an integer number (7180716825).

Almost surely, 2110013142241 is an apocalyptic number.

It is an amenable number.

110013142241 is a deficient number, since it is larger than the sum of its proper divisors (4878326959).

110013142241 is a wasteful number, since it uses less digits than its factorization.

110013142241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81988.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 110013142241 its reverse (142241310011), we get a palindrome (252254452252).

The spelling of 110013142241 in words is "one hundred ten billion, thirteen million, one hundred forty-two thousand, two hundred forty-one".

Divisors: 1 29 173 269 5017 7801 46537 81517 1349573 2363993 14102441 21928073 408970789 635914117 3793556629 110013142241