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200201010211200 = 2735220854271897
BaseRepresentation
bin101101100001010011101110…
…000110001110100110000000
3222020212000210121210210022110
4231201103232012032212000
5202220043132103224300
61545443024023535320
760112021444031625
oct5541235606164600
9866760717723273
10200201010211200
1158876854042139
121a5543692ba540
138792b49981c5b
143761acdd5034c
151822a4b060550
hexb614ee18e980

200201010211200 has 96 divisors (see below), whose sum is σ = 659412077414760. Its totient is φ = 53386936053760.

The previous prime is 200201010211159. The next prime is 200201010211201. The reversal of 200201010211200 is 2112010102002.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201010211201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10427126349 + ... + 10427145548.

Almost surely, 2200201010211200 is an apocalyptic number.

200201010211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201010211200 is an abundant number, since it is smaller than the sum of its proper divisors (459211067203560).

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

200201010211200 is a wasteful number, since it uses less digits than its factorization.

200201010211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20854271924 (or 20854271907 counting only the distinct ones).

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

Adding to 200201010211200 its reverse (2112010102002), we get a palindrome (202313020313202).

The spelling of 200201010211200 in words is "two hundred trillion, two hundred one billion, ten million, two hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 20854271897 41708543794 62562815691 83417087588 104271359485 125125631382 166834175176 208542718970 250251262764 312814078455 333668350352 417085437940 500502525528 521356797425 625628156910 667336700704 834170875880 1001005051056 1042713594850 1251256313820 1334673401408 1564070392275 1668341751760 2002010102112 2085427189700 2502512627640 2669346802816 3128140784550 3336683503520 4004020204224 4170854379400 5005025255280 6256281569100 6673367007040 8008040408448 8341708758800 10010050510560 12512563138200 13346734014080 16683417517600 20020101021120 25025126276400 33366835035200 40040202042240 50050252552800 66733670070400 100100505105600 200201010211200