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201101101201200 = 243521609104154289
BaseRepresentation
bin101101101110011001111111…
…101100110111011100110000
3222101001002002111210122100210
4231232121333230313130300
5202324320023401414300
61551412323121344120
760234034521150264
oct5556317754673460
9871032074718323
10201101101201200
1159093552a2a082
121a67a8a7a98040
1388299a22487a5
1437934b94600a4
15183b17b562050
hexb6e67fb37730

201101101201200 has 120 divisors (see below), whose sum is σ = 644594236123600. Its totient is φ = 53593630433280.

The previous prime is 201101101201181. The next prime is 201101101201201. The reversal of 201101101201200 is 2102101101102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201101101201201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50146345 + ... + 54007944.

Almost surely, 2201101101201200 is an apocalyptic number.

201101101201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101101201200 is an abundant number, since it is smaller than the sum of its proper divisors (443493134922400).

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

201101101201200 is a wasteful number, since it uses less digits than its factorization.

201101101201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104155919 (or 104155908 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201101101201200 its reverse (2102101101102), we get a palindrome (203203202302302).

The spelling of 201101101201200 in words is "two hundred one trillion, one hundred one billion, one hundred one million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1609 3218 4827 6436 8045 9654 12872 16090 19308 24135 25744 32180 38616 40225 48270 64360 77232 80450 96540 120675 128720 160900 193080 241350 321800 386160 482700 643600 965400 1930800 104154289 208308578 312462867 416617156 520771445 624925734 833234312 1041542890 1249851468 1562314335 1666468624 2083085780 2499702936 2603857225 3124628670 4166171560 4999405872 5207714450 6249257340 7811571675 8332343120 10415428900 12498514680 15623143350 20830857800 24997029360 31246286700 41661715600 62492573400 124985146800 167584251001 335168502002 502752753003 670337004004 837921255005 1005505506006 1340674008008 1675842510010 2011011012012 2513763765015 2681348016016 3351685020020 4022022024024 4189606275025 5027527530030 6703370040040 8044044048048 8379212550050 10055055060060 12568818825075 13406740080080 16758425100100 20110110120120 25137637650150 33516850200200 40220220240240 50275275300300 67033700400400 100550550600600 201101101201200