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201112010102200 = 23521032136769337
BaseRepresentation
bin101101101110100100001001…
…111011000001010110111000
3222101002010020202211020021011
4231232210021323001112320
5202330004344041232300
61551421325413123304
760234602043242341
oct5556441173012670
9871063222736234
10201112010102200
11590981407a593a
121a680a31329534
13882aa20327bb2
143793c321b90c8
15183b5b9108eba
hexb6e909ec15b8

201112010102200 has 144 divisors (see below), whose sum is σ = 472521382343280. Its totient is φ = 79604362068480.

The previous prime is 201112010102191. The next prime is 201112010102243. The reversal of 201112010102200 is 2201010211102.

201112010102200 is digitally balanced in base 2, 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 35 ways as a sum of consecutive naturals, for example, 2900465932 + ... + 2900535268.

It is an arithmetic number, because the mean of its divisors is an integer number (3281398488495).

Almost surely, 2201112010102200 is an apocalyptic number.

201112010102200 is a gapful number since it is divisible by the number (20) 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 201112010102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236260691171640).

201112010102200 is an abundant number, since it is smaller than the sum of its proper divisors (271409372241080).

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

201112010102200 is a wasteful number, since it uses less digits than its factorization.

201112010102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70926 (or 70814 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201112010102200 its reverse (2201010211102), we get a palindrome (203313020313302).

The spelling of 201112010102200 in words is "two hundred one trillion, one hundred twelve billion, ten million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 1367 2060 2575 2734 4120 5150 5468 6835 10300 10609 10936 13670 20600 21218 27340 34175 42436 53045 54680 68350 69337 84872 106090 136700 138674 140801 212180 265225 273400 277348 281602 346685 424360 530450 554696 563204 693370 704005 1060900 1126408 1386740 1408010 1733425 2121800 2773480 2816020 3466850 3520025 5632040 6933700 7040050 7141711 13867400 14080100 14283422 14502503 28160200 28566844 29005006 35708555 57133688 58010012 71417110 72512515 94783679 116020024 142834220 145025030 178542775 189567358 285668440 290050060 357085550 362562575 379134716 473918395 580100120 714171100 725125150 735596233 758269432 947836790 1428342200 1450250300 1471192466 1895673580 2369591975 2900500600 2942384932 3677981165 3791347160 4739183950 5884769864 7355962330 9478367900 9762718937 14711924660 18389905825 18956735800 19525437874 29423849320 36779811650 39050875748 48813594685 73559623300 78101751496 97627189370 147119246600 195254378740 244067973425 390508757480 488135946850 976271893700 1005560050511 1952543787400 2011120101022 4022240202044 5027800252555 8044480404088 10055600505110 20111201010220 25139001262775 40222402020440 50278002525550 100556005051100 201112010102200