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112011221012110 = 257191136133121523
BaseRepresentation
bin11001011101111110100101…
…000010100000111010001110
3112200121011112120201002221021
4121131332211002200322032
5104140142440034341420
61034121124454024354
732410354322200630
oct3135764502407216
9480534476632837
10112011221012110
1132765768153502
12106906373480ba
134a667c7493464
141d9352cb92a50
15ce3a078897aa
hex65dfa50a0e8e

112011221012110 has 128 divisors (see below), whose sum is σ = 244738991877120. Its totient is φ = 36054445787136.

The previous prime is 112011221012107. The next prime is 112011221012179. The reversal of 112011221012110 is 11210122110211.

112011221012110 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921667809 + ... + 921789331.

It is an arithmetic number, because the mean of its divisors is an integer number (1912023374040).

Almost surely, 2112011221012110 is an apocalyptic number.

112011221012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112011221012110 is an abundant number, since it is smaller than the sum of its proper divisors (132727770865010).

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

112011221012110 is a wasteful number, since it uses less digits than its factorization.

112011221012110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127802.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 112011221012110 its reverse (11210122110211), we get a palindrome (123221343122321).

The spelling of 112011221012110 in words is "one hundred twelve trillion, eleven billion, two hundred twenty-one million, twelve thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 113 133 190 226 266 565 665 791 1130 1330 1582 2147 3955 4294 6133 7910 10735 12266 15029 21470 30058 30665 42931 61330 75145 85862 116527 121523 150290 214655 233054 243046 429310 582635 607615 693029 815689 850661 1165270 1215230 1386058 1631378 1701322 2308937 3465145 4078445 4253305 4617874 4851203 6930290 8156890 8506610 9702406 11544685 13167551 13732099 16162559 23089370 24256015 26335102 27464198 32325118 48512030 65837755 68660495 80812795 92172857 96124693 131675510 137320990 161625590 184345714 192249386 260909881 460864285 480623465 521819762 745300559 921728570 961246930 1304549405 1490601118 1826369167 2609098810 3652738334 3726502795 5217103913 7453005590 9131845835 10434207826 14160710621 18263691670 26085519565 28321421242 52171039130 70803553105 84218963167 99124974347 141607106210 168437926334 198249948694 421094815835 495624871735 589532742169 842189631670 991249743470 1179065484338 1600160300173 2947663710845 3200320600346 5895327421690 8000801500865 11201122101211 16001603001730 22402244202422 56005610506055 112011221012110