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111000010200200 = 235211243013106637
BaseRepresentation
bin11001001111010000110100…
…001011011001010010001000
3112120000111102120011102122022
4121033100310023121102020
5104022111010102401300
61032024411204544012
732244325505131022
oct3117206413312210
9476014376142568
10111000010200200
1132405926aa2700
12105486669b2008
1349c23436cba04
141d5a601881012
15cc7571ce1285
hex64f4342d9488

111000010200200 has 144 divisors (see below), whose sum is σ = 283678496109540. Its totient is φ = 40362323161600.

The previous prime is 111000010200187. The next prime is 111000010200217. The reversal of 111000010200200 is 2002010000111.

It can be written as a sum of positive squares in 6 ways, for example, as 91817905251556 + 19182104948644 = 9582166^2 + 4379738^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 1040861282 + ... + 1040967918.

Almost surely, 2111000010200200 is an apocalyptic number.

111000010200200 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 111000010200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141839248054770).

111000010200200 is an abundant number, since it is smaller than the sum of its proper divisors (172678485909340).

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

111000010200200 is a wasteful number, since it uses less digits than its factorization.

111000010200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149688 (or 149668 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 111000010200200 its reverse (2002010000111), we get a palindrome (113002020200311).

The spelling of 111000010200200 in words is "one hundred eleven trillion, ten million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 43013 86026 106637 172052 213274 215065 344104 426548 430130 473143 533185 853096 860260 946286 1066370 1075325 1173007 1720520 1892572 2132740 2150650 2346014 2365715 2665925 3785144 4265480 4301300 4692028 4731430 5204573 5331850 5865035 8602600 9384056 9462860 10409146 10663700 11730070 11828575 12903077 18925720 20818292 21327400 23460140 23657150 25806154 26022865 29325175 41636584 46920280 47314300 51612308 52045730 58650350 64515385 94628600 103224616 104091460 117300700 129030770 130114325 208182920 234601400 258061540 260228650 322576925 516123080 520457300 645153850 1040914600 1290307700 2580615400 4586777281 9173554562 18347109124 22933886405 36694218248 45867772810 50454550091 91735545620 100909100182 114669432025 183471091240 201818200364 229338864050 252272750455 403636400728 458677728100 504545500910 555000051001 917355456200 1009091001820 1110000102002 1261363752275 2018182003640 2220000204004 2522727504550 2775000255005 4440000408008 5045455009100 5550000510010 10090910018200 11100001020020 13875001275025 22200002040040 27750002550050 55500005100100 111000010200200