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211320122220020 = 2251159149231090963
BaseRepresentation
bin110000000011000111001100…
…110100011001110111110100
31000201020000011122201110020002
4300003013030310121313310
5210144232102242020040
62025235042435130432
762340242424466142
oct6003071464316764
91021200148643202
10211320122220020
11613733a6986260
121b84b309443a18
1390bb52c30c9a8
143a27d3c91a592
151966dc4766a15
hexc031ccd19df4

211320122220020 has 96 divisors (see below), whose sum is σ = 492353973296640. Its totient is φ = 75536114232960.

The previous prime is 211320122219989. The next prime is 211320122220023. The reversal of 211320122220020 is 20022221023112.

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 = 211320122219974 and 211320122220001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211320122220023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193155059 + ... + 194246021.

It is an arithmetic number, because the mean of its divisors is an integer number (5128687221840).

Almost surely, 2211320122220020 is an apocalyptic number.

211320122220020 is a gapful number since it is divisible by the number (20) 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 211320122220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246176986648320).

211320122220020 is an abundant number, since it is smaller than the sum of its proper divisors (281033851076620).

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

211320122220020 is a wasteful number, since it uses less digits than its factorization.

211320122220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105965 (or 1105963 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211320122220020 its reverse (20022221023112), we get a palindrome (231342343243132).

The spelling of 211320122220020 in words is "two hundred eleven trillion, three hundred twenty billion, one hundred twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980 14923 29846 59692 74615 149230 164153 298460 328306 656612 820765 880457 1090963 1641530 1760914 2181926 3283060 3521828 4363852 4402285 5454815 8804570 9685027 10909630 12000593 17609140 19370054 21819260 24001186 38740108 48002372 48425135 60002965 64366817 96850270 120005930 128733634 193700540 240011860 257467268 321834085 643668170 708034987 1287336340 1416069974 2832139948 3540174935 7080349870 14160699740 16280440849 32560881698 65121763396 81402204245 162804408490 179084849339 325608816980 358169698678 716339397356 895424246695 960546010091 1790848493390 1921092020182 3581696986780 3842184040364 4802730050455 9605460100910 10566006111001 19210920201820 21132012222002 42264024444004 52830030555005 105660061110010 211320122220020