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110020021201200 = 24352118334850091
BaseRepresentation
bin11001000001000000001000…
…010010000010100100110000
3112102112210220102222011221110
4121001000020102002210300
5103410032000411414300
61025554255555353320
732113453455104535
oct3101001022024460
9472483812864843
10110020021201200
113206825782aa70
121040a74a5b2840
134950ac7190186
141d24dd6d84d8c
15cabd1726a550
hex641008482930

110020021201200 has 120 divisors (see below), whose sum is σ = 384469965043776. Its totient is φ = 26671520288000.

The previous prime is 110020021201169. The next prime is 110020021201201. The reversal of 110020021201200 is 2102120020011.

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

It is a super-2 number, since 2×1100200212012002 (a number of 29 digits) contains 22 as substring.

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 (110020021201201) 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, 4167411846 + ... + 4167438245.

Almost surely, 2110020021201200 is an apocalyptic number.

110020021201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020021201200 is an abundant number, since it is smaller than the sum of its proper divisors (274449943842576).

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

110020021201200 is a wasteful number, since it uses less digits than its factorization.

110020021201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334850123 (or 8334850112 counting only the distinct ones).

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

Adding to 110020021201200 its reverse (2102120020011), we get a palindrome (112122141221211).

The spelling of 110020021201200 in words is "one hundred ten trillion, twenty billion, twenty-one million, two 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 8334850091 16669700182 25004550273 33339400364 41674250455 50009100546 66678800728 83348500910 91683351001 100018201092 125022751365 133357601456 166697001820 183366702002 200036402184 208371252275 250045502730 275050053003 333394003640 366733404004 400072804368 416742504550 458416755005 500091005460 550100106006 625113756825 666788007280 733466808008 833485009100 916833510010 1000182010920 1100200212012 1250227513650 1375250265015 1466933616016 1666970018200 1833667020020 2000364021840 2200400424024 2292083775025 2500455027300 2750500530030 3333940036400 3667334040040 4400800848048 4584167550050 5000910054600 5501001060060 6876251325075 7334668080080 9168335100100 10001820109200 11002002120120 13752502650150 18336670200200 22004004240240 27505005300300 36673340400400 55010010600600 110020021201200