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111200201102221 = 72116710133192107
BaseRepresentation
bin11001010010001011010000…
…011111000101001110001101
3112120201122011012122221110221
4121102023100133011032031
5104033401002440232341
61032300400034431341
732264643434540500
oct3122132037051615
9476648135587427
10111200201102221
11324828165a2370
121057b416432551
134a0819843b05a
141d66193057137
15ccc88bdc3ed1
hex6522d07c538d

111200201102221 has 96 divisors (see below), whose sum is σ = 145077686751744. Its totient is φ = 84254884560000.

The previous prime is 111200201102183. The next prime is 111200201102299. The reversal of 111200201102221 is 122201102002111.

It is not a de Polignac number, because 111200201102221 - 221 = 111200199005069 is a prime.

It is a super-2 number, since 2×1112002011022212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111200201102195 and 111200201102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111200201102021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1207247650 + ... + 1207339756.

It is an arithmetic number, because the mean of its divisors is an integer number (1511225903664).

Almost surely, 2111200201102221 is an apocalyptic number.

111200201102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111200201102221 is a deficient number, since it is larger than the sum of its proper divisors (33877485649523).

111200201102221 is a wasteful number, since it uses less digits than its factorization.

111200201102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92631 (or 92624 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111200201102221 its reverse (122201102002111), we get a palindrome (233401303104332).

The spelling of 111200201102221 in words is "one hundred eleven trillion, two hundred billion, two hundred one million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 7 11 49 67 77 101 331 469 539 707 737 1111 2317 3283 3641 4949 5159 6767 7777 16219 22177 25487 33431 36113 47369 54439 74437 92107 155239 178409 234017 243947 331583 367741 521059 644749 1013177 1086673 1638119 1707629 2239877 2574187 3647413 4513243 6171169 7092239 9302807 11953403 15679139 18019309 24638647 30487417 43198183 49645673 65119649 67882859 102330877 109753973 172470529 213411919 302387281 335361587 455837543 475180013 623288069 716316139 1207293703 1493883433 2042656939 2347531109 3079229117 3326260091 4363016483 5014212973 6856168759 14298598573 16432717763 21554603819 22469226329 30541115381 33871520287 47993181313 100090190011 150882226733 157284584303 206308350839 237100642009 335952269191 1100992090121 1444158455873 1659704494063 2269391859229 10109109191111 15885743014603 111200201102221