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111011120100198 = 2358910687240151
BaseRepresentation
bin11001001111011011001010…
…011000010011001101100110
3112120001120002211101211100000
4121033123022120103031212
5104022301233221201243
61032033445440402130
732245201020541023
oct3117331230231546
9476046084354300
10111011120100198
113240a608273a3a
121054a847616346
1349c33c4325036
141d5ad7719c54a
15cc79c233d5d3
hex64f6ca613366

111011120100198 has 96 divisors (see below), whose sum is σ = 252259656929280. Its totient is φ = 36584358782400.

The previous prime is 111011120100161. The next prime is 111011120100317. The reversal of 111011120100198 is 891001021110111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462135423 + ... + 462375573.

It is an arithmetic number, because the mean of its divisors is an integer number (2627704759680).

Almost surely, 2111011120100198 is an apocalyptic number.

111011120100198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111011120100198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126129828464640).

111011120100198 is an abundant number, since it is smaller than the sum of its proper divisors (141248536829082).

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

111011120100198 is a wasteful number, since it uses less digits than its factorization.

111011120100198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250944 (or 250932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 27.

The spelling of 111011120100198 in words is "one hundred eleven trillion, eleven billion, one hundred twenty million, one hundred thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 801 1602 2403 4806 7209 10687 14418 21374 21627 32061 43254 64122 96183 192366 240151 288549 480302 577098 720453 865647 951143 1440906 1731294 1902286 2161359 2596941 2853429 4322718 5193882 5706858 6484077 8560287 12968154 17120574 19452231 21373439 25680861 38904462 42746878 51361722 58356693 64120317 77042583 116713386 128240634 154085166 192360951 231127749 384721902 462255498 577082853 1154165706 1731248559 2566493737 3462497118 5132987474 5193745677 7699481211 10387491354 15398962422 23098443633 46196887266 69295330899 138590661798 207885992697 228417942593 415771985394 456835885186 623657978091 685253827779 1247315956182 1370507655558 2055761483337 4111522966674 6167284450011 12334568900022 18501853350033 37003706700066 55505560050099 111011120100198