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211231022220020 = 225118350232302999
BaseRepresentation
bin110000000001110100001110…
…000010111000001011110100
31000200220111012010100111000002
4300001310032002320023310
5210141302113142020040
62025130105245010432
762330636434131245
oct6001641602701364
91020814163314002
10211231022220020
1161339634297520
121b835ba1b53a18
1390b2cccab40ba
143a238c9378ccc
15196490c416a15
hexc01d0e0b82f4

211231022220020 has 96 divisors (see below), whose sum is σ = 489839035392000. Its totient is φ = 75870703071360.

The previous prime is 211231022219983. The next prime is 211231022220041. The reversal of 211231022220020 is 20022220132112.

It is a super-2 number, since 2×2112310222200202 (a number of 29 digits) contains 22 as substring.

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 = 211231022219974 and 211231022220001.

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, 90568481 + ... + 92871479.

It is an arithmetic number, because the mean of its divisors is an integer number (5102489952000).

Almost surely, 2211231022220020 is an apocalyptic number.

211231022220020 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 211231022220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244919517696000).

211231022220020 is an abundant number, since it is smaller than the sum of its proper divisors (278608013171980).

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

211231022220020 is a wasteful number, since it uses less digits than its factorization.

211231022220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308125 (or 2308123 counting only the distinct ones).

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

Adding to 211231022220020 its reverse (20022220132112), we get a palindrome (231253242352132).

The spelling of 211231022220020 in words is "two hundred eleven trillion, two hundred thirty-one billion, twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 5023 9130 10046 18260 20092 25115 50230 55253 100460 110506 221012 276265 416909 552530 833818 1105060 1667636 2084545 2302999 4169090 4585999 4605998 8338180 9171998 9211996 11514995 18343996 22929995 23029990 25332989 45859990 46059980 50665978 91719980 101331956 126664945 191148917 253329890 382297834 506659780 764595668 955744585 1911489170 2102638087 3822978340 4205276174 8410552348 10513190435 11567963977 21026380870 23135927954 42052761740 46271855908 57839819885 115679639770 127247603747 231359279540 254495207494 508990414988 636238018735 960141010091 1272476037470 1920282020182 2544952074940 3840564040364 4800705050455 9601410100910 10561551111001 19202820201820 21123102222002 42246204444004 52807755555005 105615511110010 211231022220020