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110020112020 = 22571325478501
BaseRepresentation
bin110011001110110110…
…1011010111010010100
3101111222111020202212201
41212131231122322110
53300310122041040
6122313104454244
710643254344040
oct1463555327224
9344874222781
10110020112020
1142728537615
12193a561a384
13a4b471c300
145479b3b020
152cddc6ba9a
hex199db5ae94

110020112020 has 144 divisors (see below), whose sum is σ = 286478494848. Its totient is φ = 34751808000.

The previous prime is 110020112011. The next prime is 110020112021. The reversal of 110020112020 is 20211020011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110020111988 and 110020112006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110020112021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12937770 + ... + 12946270.

It is an arithmetic number, because the mean of its divisors is an integer number (1989433992).

Almost surely, 2110020112020 is an apocalyptic number.

110020112020 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 110020112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143239247424).

110020112020 is an abundant number, since it is smaller than the sum of its proper divisors (176458382828).

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

110020112020 is a wasteful number, since it uses less digits than its factorization.

110020112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090 (or 9075 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110020112020 its reverse (20211020011), we get a palindrome (130231132031).

The spelling of 110020112020 in words is "one hundred ten billion, twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 547 676 845 910 1094 1183 1690 1820 2188 2366 2735 3380 3829 4732 5470 5915 7111 7658 8501 10940 11830 14222 15316 17002 19145 23660 28444 34004 35555 38290 42505 49777 59507 71110 76580 85010 92443 99554 110513 119014 142220 170020 184886 199108 221026 238028 248885 297535 369772 442052 462215 497770 552565 595070 647101 773591 924430 995540 1105130 1190140 1294202 1436669 1547182 1848860 2210260 2588404 2873338 3094364 3235505 3867955 4650047 5746676 6471010 7183345 7735910 9300094 10056683 12942020 14366690 15471820 18600188 20113366 23250235 28733380 32550329 40226732 46500470 50283415 60450611 65100658 93000940 100566830 120901222 130201316 162751645 201133660 241802444 302253055 325503290 423154277 604506110 651006580 785857943 846308554 1209012220 1571715886 1692617108 2115771385 3143431772 3929289715 4231542770 5501005601 7858579430 8463085540 11002011202 15717158860 22004022404 27505028005 55010056010 110020112020