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110212211212220 = 225131942895201717
BaseRepresentation
bin11001000011110011000111…
…101100101111111110111100
3112110020011222111101022122202
4121003303013230233332330
5103421204102032242340
61030222442454331032
732133366223203425
oct3103630754577674
9473204874338582
10110212211212220
1132131811003917
121043ba46659a78
134965c754369a0
141d30429b0064c
15cb1d14c28c15
hex643cc7b2ffbc

110212211212220 has 96 divisors (see below), whose sum is σ = 262428753787200. Its totient is φ = 38542967783424.

The previous prime is 110212211212097. The next prime is 110212211212223. The reversal of 110212211212220 is 22212112212011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110212211212192 and 110212211212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212211212223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18586802 + ... + 23788518.

It is an arithmetic number, because the mean of its divisors is an integer number (2733632851950).

Almost surely, 2110212211212220 is an apocalyptic number.

110212211212220 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 110212211212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131214376893600).

110212211212220 is an abundant number, since it is smaller than the sum of its proper divisors (152216542574980).

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

110212211212220 is a wasteful number, since it uses less digits than its factorization.

110212211212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206047 (or 5206045 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 110212211212220 its reverse (22212112212011), we get a palindrome (132424323424231).

The spelling of 110212211212220 in words is "one hundred ten trillion, two hundred twelve billion, two hundred eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4289 4940 8578 17156 21445 42890 55757 81491 85780 111514 162982 223028 278785 325964 407455 557570 814910 1059383 1115140 1629820 2118766 4237532 5201717 5296915 10403434 10593830 20806868 21187660 26008585 52017170 67622321 98832623 104034340 135244642 197665246 270489284 338111605 395330492 494163115 676223210 988326230 1284824099 1352446420 1976652460 2569648198 5139296396 6424120495 12848240990 22310164213 25696481980 44620328426 89240656852 111550821065 223101642130 290032134769 423893120047 446203284260 580064269538 847786240094 1160128539076 1450160673845 1695572480188 2119465600235 2900321347690 4238931200470 5510610560611 5800642695380 8477862400940 11021221121222 22042442242444 27553052803055 55106105606110 110212211212220