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10244041101 = 3271724113723
BaseRepresentation
bin10011000101001011…
…11010100110001101
3222102220222012120200
421202211322212031
5131434433303401
64412301204113
7511566625020
oct114245724615
928386865520
1010244041101
114387548778
121b9a860639
13c734247a8
146d272b1b7
153ee516686
hex26297a98d

10244041101 has 72 divisors (see below), whose sum is σ = 18403554624. Its totient is φ = 5374632960.

The previous prime is 10244041081. The next prime is 10244041111. The reversal of 10244041101 is 10114044201.

10244041101 is a `hidden beast` number, since 10 + 244 + 0 + 411 + 0 + 1 = 666.

10244041101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10244041101 - 211 = 10244039053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244041111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 739626 + ... + 753348.

Almost surely, 210244041101 is an apocalyptic number.

It is an amenable number.

10244041101 is a deficient number, since it is larger than the sum of its proper divisors (8159513523).

10244041101 is a wasteful number, since it uses less digits than its factorization.

10244041101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13811 (or 13791 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10244041101 its reverse (10114044201), we get a palindrome (20358085302).

The spelling of 10244041101 in words is "ten billion, two hundred forty-four million, forty-one thousand, one hundred one".

Divisors: 1 3 7 9 17 21 41 51 63 119 123 153 287 289 357 369 697 861 867 1071 2023 2091 2583 2601 4879 6069 6273 11849 13723 14637 18207 35547 41169 43911 82943 96061 106641 123507 233291 248829 288183 562643 699873 746487 864549 1633037 1687929 2099619 3938501 3965947 4899111 5063787 9564931 11815503 11897841 14697333 27761629 28694793 35446509 35693523 66954517 83284887 86084379 162603827 200863551 249854661 487811481 602590653 1138226789 1463434443 3414680367 10244041101