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11114104241000 = 235347409578167
BaseRepresentation
bin1010000110111011010000…
…1111000011101101101000
31110100111110000220200220102
42201232310033003231220
52424043141141203000
635345425441244532
72224652602215065
oct241566417035550
943314400820812
1011114104241000
1135a5513111032
1212b5ba3033748
1362809500c617
142a5cd5885c6c
15144183c683d5
hexa1bb43c3b68

11114104241000 has 128 divisors (see below), whose sum is σ = 26625330201600. Its totient is φ = 4340407795200.

The previous prime is 11114104240903. The next prime is 11114104241039. The reversal of 11114104241000 is 14240141111.

11114104241000 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18933917 + ... + 19512083.

It is an arithmetic number, because the mean of its divisors is an integer number (208010392200).

Almost surely, 211114104241000 is an apocalyptic number.

11114104241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11114104241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312665100800).

11114104241000 is an abundant number, since it is smaller than the sum of its proper divisors (15511225960600).

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

11114104241000 is a wasteful number, since it uses less digits than its factorization.

11114104241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578644 (or 578630 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11114104241000 its reverse (14240141111), we get a palindrome (11128344382111).

The spelling of 11114104241000 in words is "eleven trillion, one hundred fourteen billion, one hundred four million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 409 470 500 818 940 1000 1175 1636 1880 2045 2350 3272 4090 4700 5875 8180 9400 10225 11750 16360 19223 20450 23500 38446 40900 47000 51125 76892 81800 96115 102250 153784 192230 204500 384460 409000 480575 578167 768920 961150 1156334 1922300 2312668 2402875 2890835 3844600 4625336 4805750 5781670 9611500 11563340 14454175 19223000 23126680 27173849 28908350 54347698 57816700 72270875 108695396 115633400 135869245 144541750 217390792 236470303 271738490 289083500 472940606 543476980 578167000 679346225 945881212 1086953960 1182351515 1358692450 1891762424 2364703030 2717384900 3396731125 4729406060 5434769800 5911757575 6793462250 9458812120 11114104241 11823515150 13586924500 22228208482 23647030300 27173849000 29558787875 44456416964 47294060600 55570521205 59117575750 88912833928 111141042410 118235151500 222282084820 236470303000 277852606025 444564169640 555705212050 1111410424100 1389263030125 2222820848200 2778526060250 5557052120500 11114104241000