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10000541124 = 2233721889747
BaseRepresentation
bin10010101000001010…
…00010010111000100
3221210221210010102000
421110011002113010
5130440114303444
64332202145300
7502552124400
oct112405022704
927727703360
1010000541124
114272054622
121b311b2230
13c34b49872
146ac264100
153d7e68469
hex2541425c4

10000541124 has 72 divisors (see below), whose sum is σ = 30160378080. Its totient is φ = 2857295952.

The previous prime is 10000541093. The next prime is 10000541129. The reversal of 10000541124 is 42114500001.

10000541124 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 541 + 124 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10000541097 and 10000541106.

It is not an unprimeable number, because it can be changed into a prime (10000541129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939582 + ... + 950165.

It is an arithmetic number, because the mean of its divisors is an integer number (418894140).

Almost surely, 210000541124 is an apocalyptic number.

10000541124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10000541124 is an abundant number, since it is smaller than the sum of its proper divisors (20159836956).

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

10000541124 is a wasteful number, since it uses less digits than its factorization.

10000541124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889774 (or 1889759 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 10000541124 in words is "ten billion, five hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 1889747 3779494 5669241 7558988 11338482 13228229 17007723 22676964 26456458 34015446 39684687 51023169 52912916 68030892 79369374 92597603 102046338 119054061 158738748 185195206 204092676 238108122 277792809 357162183 370390412 476216244 555585618 714324366 833378427 1111171236 1428648732 1666756854 2500135281 3333513708 5000270562 10000541124