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110120212201120 = 25511132147364347
BaseRepresentation
bin11001000010011101011100…
…001000010111111010100000
3112102220101111221000022211021
4121002131130020113322200
5103413202143310413440
61030112305504255224
732123631341414242
oct3102353410277240
9472811457008737
10110120212201120
11320a67a0a61140
1210426050311514
13495a3a3425504
141d29bbd524092
15cae72d13284a
hex64275c217ea0

110120212201120 has 96 divisors (see below), whose sum is σ = 284024670302016. Its totient is φ = 40013399500800.

The previous prime is 110120212201067. The next prime is 110120212201177. The reversal of 110120212201120 is 21102212021011.

It is a super-2 number, since 2×1101202122011202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110120212201094 and 110120212201103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21357214 + ... + 26007133.

It is an arithmetic number, because the mean of its divisors is an integer number (2958590315646).

Almost surely, 2110120212201120 is an apocalyptic number.

110120212201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120212201120 is an abundant number, since it is smaller than the sum of its proper divisors (173904458100896).

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

110120212201120 is a wasteful number, since it uses less digits than its factorization.

110120212201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47365694 (or 47365686 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110120212201120 its reverse (21102212021011), we get a palindrome (131222424222131).

The spelling of 110120212201120 in words is "one hundred ten trillion, one hundred twenty billion, two hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1321 1760 2642 5284 6605 10568 13210 14531 21136 26420 29062 42272 52840 58124 72655 105680 116248 145310 211360 232496 290620 464992 581240 1162480 2324960 47364347 94728694 189457388 236821735 378914776 473643470 521007817 757829552 947286940 1042015634 1515659104 1894573880 2084031268 2605039085 3789147760 4168062536 5210078170 7578295520 8336125072 10420156340 16672250144 20840312680 41680625360 62568302387 83361250720 125136604774 250273209548 312841511935 500546419096 625683023870 688251326257 1001092838192 1251366047740 1376502652514 2002185676384 2502732095480 2753005305028 3441256631285 5005464190960 5506010610056 6882513262570 10010928381920 11012021220112 13765026525140 22024042440224 27530053050280 55060106100560 110120212201120