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110020012002120 = 233511194386762839
BaseRepresentation
bin11001000001000000000111…
…101110111100101101001000
3112102112210212210122211011210
4121001000013232330231020
5103410031441033031440
61025554255030253120
732113453313652213
oct3101000756745510
9472483783584153
10110020012002120
1132068252617620
121040a7474b71a0
134950ac52bc02c
141d24dd5a6c77a
15cabd1654ea80
hex641007bbcb48

110020012002120 has 128 divisors (see below), whose sum is σ = 379016309376000. Its totient is φ = 25267753946880.

The previous prime is 110020012002049. The next prime is 110020012002133. The reversal of 110020012002120 is 21200210020011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110020012002096 and 110020012002105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2193356340 + ... + 2193406499.

It is an arithmetic number, because the mean of its divisors is an integer number (2961064917000).

Almost surely, 2110020012002120 is an apocalyptic number.

110020012002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020012002120 is an abundant number, since it is smaller than the sum of its proper divisors (268996297373880).

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

110020012002120 is a wasteful number, since it uses less digits than its factorization.

110020012002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386762883 (or 4386762879 counting only the distinct ones).

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

Adding to 110020012002120 its reverse (21200210020011), we get a palindrome (131220222022131).

The spelling of 110020012002120 in words is "one hundred ten trillion, twenty billion, twelve million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 4386762839 8773525678 13160288517 17547051356 21933814195 26320577034 35094102712 43867628390 48254391229 52641154068 65801442585 83348493941 87735256780 96508782458 105282308136 131602885170 144763173687 166696987882 175470513560 193017564916 241271956145 250045481823 263205770340 289526347374 333393975764 386035129832 416742469705 482543912290 500090963646 526411540680 579052694748 666787951528 723815868435 833484939410 916833433351 965087824580 1000181927292 1158105389496 1250227409115 1447631736870 1666969878820 1833666866702 1930175649160 2000363854584 2500454818230 2750500300053 2895263473740 3333939757640 3667333733404 4584167166755 5000909636460 5501000600106 5790526947480 7334667466808 9168334333510 10001819272920 11002001200212 13752501500265 18336668667020 22004002400424 27505003000530 36673337334040 55010006001060 110020012002120