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201002021101200 = 243521115227425841
BaseRepresentation
bin101101101100111101101110…
…000100010001111010010000
3222100200121100110010001200110
4231230331232010101322100
5202321204114400214300
61551255015335121320
760223626314202054
oct5554755604217220
9870617313101613
10201002021101200
1159055529888510
121a663656213240
1388205421ac497
14378c79a659c64
1518387cce85550
hexb6cf6e111e90

201002021101200 has 120 divisors (see below), whose sum is σ = 702410699239776. Its totient is φ = 48727762688000.

The previous prime is 201002021101073. The next prime is 201002021101201. The reversal of 201002021101200 is 2101120200102.

201002021101200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (201002021101201) 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, 7613699721 + ... + 7613726120.

Almost surely, 2201002021101200 is an apocalyptic number.

201002021101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002021101200 is an abundant number, since it is smaller than the sum of its proper divisors (501408678138576).

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

201002021101200 is a wasteful number, since it uses less digits than its factorization.

201002021101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15227425873 (or 15227425862 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201002021101200 its reverse (2101120200102), we get a palindrome (203103141301302).

The spelling of 201002021101200 in words is "two hundred one trillion, two billion, twenty-one million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 15227425841 30454851682 45682277523 60909703364 76137129205 91364555046 121819406728 152274258410 167501684251 182729110092 228411387615 243638813456 304548516820 335003368502 365458220184 380685646025 456822775230 502505052753 609097033640 670006737004 730916440368 761371292050 837508421255 913645550460 1005010105506 1142056938075 1218194067280 1340013474008 1522742584100 1675016842510 1827291100920 2010020211012 2284113876150 2512525263765 2680026948016 3045485168200 3350033685020 3654582201840 4020040422024 4187542106275 4568227752300 5025050527530 6090970336400 6700067370040 8040080844048 8375084212550 9136455504600 10050101055060 12562626318825 13400134740080 16750168425100 18272911009200 20100202110120 25125252637650 33500336850200 40200404220240 50250505275300 67000673700400 100501010550600 201002021101200