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10110113118 = 233726746331
BaseRepresentation
bin10010110101001110…
…00001010101011110
3222002120221221221000
421122213001111132
5131201142104433
64351114451130
7505352354310
oct113247012536
928076857830
1010110113118
114318993696
121b61a33aa6
13c51762171
146bca277b0
153e28ae113
hex25a9c155e

10110113118 has 32 divisors (see below), whose sum is σ = 25676478720. Its totient is φ = 2888603640.

The previous prime is 10110113093. The next prime is 10110113119. The reversal of 10110113118 is 81131101101.

10110113118 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10110113118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110113119) 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 15 ways as a sum of consecutive naturals, for example, 13372788 + ... + 13373543.

It is an arithmetic number, because the mean of its divisors is an integer number (802389960).

Almost surely, 210110113118 is an apocalyptic number.

10110113118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10110113118 is an abundant number, since it is smaller than the sum of its proper divisors (15566365602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10110113118 is a wasteful number, since it uses less digits than its factorization.

10110113118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26746349 (or 26746343 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 10110113118 its reverse (81131101101), we get a palindrome (91241214219).

The spelling of 10110113118 in words is "ten billion, one hundred ten million, one hundred thirteen thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 26746331 53492662 80238993 160477986 187224317 240716979 374448634 481433958 561672951 722150937 1123345902 1444301874 1685018853 3370037706 5055056559 10110113118