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110020211220 = 223561167180001
BaseRepresentation
bin110011001110110110…
…1110011001000010100
3101111222111102210221210
41212131231303020110
53300310133224340
6122313110541420
710643255236203
oct1463555631024
9344874383853
10110020211220
11427285a50a7
12193a5667870
13a4b47554ca
145479b6523a
152cddc8b180
hex199db73214

110020211220 has 96 divisors (see below), whose sum is σ = 314983339776. Its totient is φ = 28684800000.

The previous prime is 110020211183. The next prime is 110020211233. The reversal of 110020211220 is 22112020011.

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 = 110020211196 and 110020211205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521220 + ... + 701220.

It is an arithmetic number, because the mean of its divisors is an integer number (3281076456).

Almost surely, 2110020211220 is an apocalyptic number.

110020211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110020211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157491669888).

110020211220 is an abundant number, since it is smaller than the sum of its proper divisors (204963128556).

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

110020211220 is a wasteful number, since it uses less digits than its factorization.

110020211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180241 (or 180239 counting only the distinct ones).

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

Adding to 110020211220 its reverse (22112020011), we get a palindrome (132132231231).

The spelling of 110020211220 in words is "one hundred ten billion, twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 167 183 244 305 334 366 501 610 668 732 835 915 1002 1220 1670 1830 2004 2505 3340 3660 5010 10020 10187 20374 30561 40748 50935 61122 101870 122244 152805 180001 203740 305610 360002 540003 611220 720004 900005 1080006 1800010 2160012 2700015 3600020 5400030 10800060 10980061 21960122 30060167 32940183 43920244 54900305 60120334 65880366 90180501 109800610 120240668 131760732 150300835 164700915 180361002 219601220 300601670 329401830 360722004 450902505 601203340 658803660 901805010 1803610020 1833670187 3667340374 5501010561 7334680748 9168350935 11002021122 18336701870 22004042244 27505052805 36673403740 55010105610 110020211220