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10011123168 = 253104282533
BaseRepresentation
bin10010101001011010…
…11001110111100000
3221211200200202020120
421110231121313200
5131000321420133
64333221040240
7503041100004
oct112455316740
927750622216
1010011123168
114278022012
121b34856080
13c370b3327
146ad81a704
153d8d58ab3
hex254b59de0

10011123168 has 24 divisors (see below), whose sum is σ = 26279198568. Its totient is φ = 3337041024.

The previous prime is 10011123163. The next prime is 10011123169. The reversal of 10011123168 is 86132111001.

10011123168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011123163) 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 3 ways as a sum of consecutive naturals, for example, 52141171 + ... + 52141362.

It is an arithmetic number, because the mean of its divisors is an integer number (1094966607).

Almost surely, 210011123168 is an apocalyptic number.

It is an amenable number.

10011123168 is an abundant number, since it is smaller than the sum of its proper divisors (16268075400).

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

10011123168 is a wasteful number, since it uses less digits than its factorization.

10011123168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104282546 (or 104282538 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 10011123168 its reverse (86132111001), we get a palindrome (96143234169).

The spelling of 10011123168 in words is "ten billion, eleven million, one hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 104282533 208565066 312847599 417130132 625695198 834260264 1251390396 1668520528 2502780792 3337041056 5005561584 10011123168