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220210011221000 = 2353896074076227
BaseRepresentation
bin110010000100011110100011…
…011111101010110000001000
31001212200212112022020222011112
4302010132203133222300020
5212330410100333033000
62100203025500545452
764245435235301603
oct6204364337526010
91055625468228145
10220210011221000
11641905a5520049
1220846213252288
1395b493a9aa798
143c543157a733a
151a6d27b222235
hexc847a37eac08

220210011221000 has 128 divisors (see below), whose sum is σ = 521939799014400. Its totient is φ = 86950792051200.

The previous prime is 220210011220987. The next prime is 220210011221117. The reversal of 220210011221000 is 122110012022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51984887 + ... + 56061113.

It is an arithmetic number, because the mean of its divisors is an integer number (4077654679800).

Almost surely, 2220210011221000 is an apocalyptic number.

220210011221000 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 220210011221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260969899507200).

220210011221000 is an abundant number, since it is smaller than the sum of its proper divisors (301729787793400).

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

220210011221000 is a wasteful number, since it uses less digits than its factorization.

220210011221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076944 (or 4076930 counting only the distinct ones).

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

Adding to 220210011221000 its reverse (122110012022), we get a palindrome (220332121233022).

The spelling of 220210011221000 in words is "two hundred twenty trillion, two hundred ten billion, eleven million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 607 712 890 1000 1214 1780 2225 2428 3035 3560 4450 4856 6070 8900 11125 12140 15175 17800 22250 24280 30350 44500 54023 60700 75875 89000 108046 121400 151750 216092 270115 303500 432184 540230 607000 1080460 1350575 2160920 2701150 4076227 5402300 6752875 8152454 10804600 13505750 16304908 20381135 27011500 32609816 40762270 54023000 81524540 101905675 163049080 203811350 362784203 407622700 509528375 725568406 815245400 1019056750 1451136812 1813921015 2038113500 2474269789 2902273624 3627842030 4076227000 4948539578 7255684060 9069605075 9897079156 12371348945 14511368120 18139210150 19794158312 24742697890 36278420300 45348025375 49485395780 61856744725 72556840600 90696050750 98970791560 123713489450 181392101500 220210011221 247426978900 309283723625 362784203000 440420022442 494853957800 618567447250 880840044884 1101050056105 1237134894500 1761680089768 2202100112210 2474269789000 4404200224420 5505250280525 8808400448840 11010500561050 22021001122100 27526251402625 44042002244200 55052502805250 110105005610500 220210011221000