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104035312524 = 2231113173350443
BaseRepresentation
bin110000011100011111…
…1001110001110001100
3100221112101210110101010
41200320333032032030
53201031020000044
6115443153445220
710342043365023
oct1407077161614
9327471713333
10104035312524
1140137249130
12181b5270810
139a6c846230
14506cd678ba
152a8d637bb9
hex1838fce38c

104035312524 has 96 divisors (see below), whose sum is σ = 286837012224. Its totient is φ = 28932491520.

The previous prime is 104035312523. The next prime is 104035312529. The reversal of 104035312524 is 425213530401.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 104035312491 and 104035312500.

It is not an unprimeable number, because it can be changed into a prime (104035312523) 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 31 ways as a sum of consecutive naturals, for example, 121647 + ... + 472089.

It is an arithmetic number, because the mean of its divisors is an integer number (2987885544).

Almost surely, 2104035312524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104035312524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143418506112).

104035312524 is an abundant number, since it is smaller than the sum of its proper divisors (182801699700).

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

104035312524 is a wasteful number, since it uses less digits than its factorization.

104035312524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350647 (or 350645 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 104035312524 its reverse (425213530401), we get a palindrome (529248842925).

The spelling of 104035312524 in words is "one hundred four billion, thirty-five million, three hundred twelve thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 173 286 346 429 519 572 692 858 1038 1716 1903 2076 2249 3806 4498 5709 6747 7612 8996 11418 13494 22836 24739 26988 49478 74217 98956 148434 296868 350443 700886 1051329 1401772 2102658 3854873 4205316 4555759 7709746 9111518 11564619 13667277 15419492 18223036 23129238 27334554 46258476 50113349 54669108 60626639 100226698 121253278 150340047 181879917 200453396 242506556 300680094 363759834 601360188 666893029 727519668 788146307 1333786058 1576292614 2000679087 2364438921 2667572116 3152585228 4001358174 4728877842 8002716348 8669609377 9457755684 17339218754 26008828131 34678437508 52017656262 104035312524