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211020221122220 = 225171494165420867
BaseRepresentation
bin101111111110101111111001…
…010100100000011010101100
31000200011100002000220011210102
4233332233321110200122230
5210124323403101402340
62024445203513530232
762306464540304216
oct5776577124403254
91020140060804712
10211020221122220
116126819a5a0714
121b801171113978
139099176b2bcc3
143a1760c9a15b6
15195e1c0ae2215
hexbfebf95206ac

211020221122220 has 48 divisors (see below), whose sum is σ = 472358726431200. Its totient is φ = 78909732885504.

The previous prime is 211020221122157. The next prime is 211020221122231. The reversal of 211020221122220 is 22221122020112.

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 = 211020221122192 and 211020221122201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2082659774 + ... + 2082761093.

It is an arithmetic number, because the mean of its divisors is an integer number (9840806800650).

Almost surely, 2211020221122220 is an apocalyptic number.

211020221122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020221122220 is an abundant number, since it is smaller than the sum of its proper divisors (261338505308980).

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

211020221122220 is a wasteful number, since it uses less digits than its factorization.

211020221122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165421042 (or 4165421040 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211020221122220 its reverse (22221122020112), we get a palindrome (233241343142332).

The spelling of 211020221122220 in words is "two hundred eleven trillion, twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 340 596 745 1490 2533 2980 5066 10132 12665 25330 50660 4165420867 8330841734 16661683468 20827104335 41654208670 70812154739 83308417340 141624309478 283248618956 354060773695 620647709183 708121547390 1241295418366 1416243094780 2482590836732 3103238545915 6206477091830 10551011056111 12412954183660 21102022112222 42204044224444 52755055280555 105510110561110 211020221122220