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2001122011220 = 2258910126342323
BaseRepresentation
bin11101000111101100001…
…010101010100001010100
321002022020122002221000012
4131013230022222201110
5230241244213324340
64131145221335352
7264401445304553
oct35075412524124
97068218087005
102001122011220
1170174222a492
122839b7867558
13116921b50a37
146cbd78bbd9a
15370c1760565
hex1d1ec2aa854

2001122011220 has 96 divisors (see below), whose sum is σ = 4308068540160. Its totient is φ = 780620825600.

The previous prime is 2001122011201. The next prime is 2001122011247. The reversal of 2001122011220 is 221102211002.

It is a junction number, because it is equal to n+sod(n) for n = 2001122011195 and 2001122011204.

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, 47260979 + ... + 47303301.

It is an arithmetic number, because the mean of its divisors is an integer number (44875713960).

Almost surely, 22001122011220 is an apocalyptic number.

2001122011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001122011220 is an abundant number, since it is smaller than the sum of its proper divisors (2306946528940).

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

2001122011220 is a wasteful number, since it uses less digits than its factorization.

2001122011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42785 (or 42783 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2001122011220 its reverse (221102211002), we get a palindrome (2222224222222).

The spelling of 2001122011220 in words is "two trillion, one billion, one hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 89 101 178 202 263 356 404 445 505 526 890 1010 1052 1315 1780 2020 2630 5260 8989 17978 23407 26563 35956 42323 44945 46814 53126 84646 89890 93628 106252 117035 132815 169292 179780 211615 234070 265630 423230 468140 531260 846460 2364107 3766747 4274623 4728214 7533494 8549246 9456428 11130949 11820535 15066988 17098492 18833735 21373115 22261898 23641070 37667470 42746230 44523796 47282140 55654745 75334940 85492460 111309490 222618980 380441447 760882894 990654461 1124225849 1521765788 1902207235 1981308922 2248451698 3804414470 3962617844 4496903396 4953272305 5621129245 7608828940 9906544610 11242258490 19813089220 22484516980 100056100561 200112201122 400224402244 500280502805 1000561005610 2001122011220