Search a number
-
+
100000022110112 = 2547727213742797
BaseRepresentation
bin10110101111001100010001…
…110010111001111110100000
3111010001220112110220211122202
4112233030101302321332200
5101101400021130010422
6552403213112352332
730030522525110225
oct2657142162717640
9433056473824582
10100000022110112
11299548535388a3
12b2708110a56a8
1343a4c668b7957
141a9a053b2994c
15b8636b6dab92
hex5af311cb9fa0

100000022110112 has 96 divisors (see below), whose sum is σ = 201439363926528. Its totient is φ = 48844859222016.

The previous prime is 100000022110099. The next prime is 100000022110193. The reversal of 100000022110112 is 211011220000001.

It is a junction number, because it is equal to n+sod(n) for n = 100000022110093 and 100000022110102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2336591498 + ... + 2336634294.

It is an arithmetic number, because the mean of its divisors is an integer number (2098326707568).

Almost surely, 2100000022110112 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 100000022110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100719681963264).

100000022110112 is an abundant number, since it is smaller than the sum of its proper divisors (101439341816416).

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

100000022110112 is a wasteful number, since it uses less digits than its factorization.

100000022110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45718 (or 45710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100000022110112 its reverse (211011220000001), we get a palindrome (311011242110113).

The spelling of 100000022110112 in words is "one hundred trillion, twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 94 188 376 727 752 1454 1504 2137 2908 4274 5816 8548 11632 17096 23264 34169 34192 42797 68338 68384 85594 100439 136676 171188 200878 273352 342376 401756 546704 684752 803512 1093408 1369504 1553599 1607024 2011459 3107198 3214048 4022918 6214396 8045836 12428792 16091672 24857584 31113419 32183344 49715168 62226838 64366688 73019153 91457189 124453676 146038306 182914378 248907352 292076612 365828756 497814704 584153224 731657512 995629408 1168306448 1462330693 1463315024 2336612896 2924661386 2926630048 4298487883 5849322772 8596975766 11698645544 17193951532 23397291088 34387903064 46794582176 66489376403 68775806128 132978752806 137551612256 265957505612 531915011224 1063830022448 2127660044896 3125000690941 6250001381882 12500002763764 25000005527528 50000011055056 100000022110112