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220212020201220 = 223251972978824103
BaseRepresentation
bin110010000100100000011011…
…001111010100011100000100
31001212201001201022111201221100
4302010200123033110130010
5212330423204132414340
62100204001104220100
764245536101325025
oct6204403317243404
91055631638451840
10220212020201220
1164191436540683
122084669400a630
1395b4b9ac7a488
143c5446651cc4c
151a6d3477aa830
hexc8481b3d4704

220212020201220 has 144 divisors (see below), whose sum is σ = 703229556032640. Its totient is φ = 55624880037888.

The previous prime is 220212020201207. The next prime is 220212020201279. The reversal of 220212020201220 is 22102020212022.

220212020201220 is a `hidden beast` number, since 2 + 20 + 21 + 202 + 0 + 201 + 220 = 666.

It is a super-2 number, since 2×2202120202012202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220212020201193 and 220212020201202.

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 47 ways as a sum of consecutive naturals, for example, 20543689 + ... + 29367791.

It is an arithmetic number, because the mean of its divisors is an integer number (4883538583560).

Almost surely, 2220212020201220 is an apocalyptic number.

220212020201220 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 220212020201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351614778016320).

220212020201220 is an abundant number, since it is smaller than the sum of its proper divisors (483017535831420).

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

220212020201220 is a wasteful number, since it uses less digits than its factorization.

220212020201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8831434 (or 8831429 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220212020201220 its reverse (22102020212022), we get a palindrome (242314040413242).

The spelling of 220212020201220 in words is "two hundred twenty trillion, two hundred twelve billion, twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 7297 14594 21891 29188 36485 43782 65673 72970 87564 109455 131346 138643 145940 218910 262692 277286 328365 415929 437820 554572 656730 693215 831858 1247787 1313460 1386430 1663716 2079645 2495574 2772860 4159290 4991148 6238935 8318580 8824103 12477870 17648206 24955740 26472309 35296412 44120515 52944618 79416927 88241030 105889236 132361545 158833854 167657957 176482060 264723090 317667708 335315914 397084635 502973871 529446180 670631828 794169270 838289785 1005947742 1508921613 1588338540 1676579570 2011895484 2514869355 3017843226 3353159140 5029738710 6035686452 7544608065 10059477420 15089216130 30178432260 64389479591 128778959182 193168438773 257557918364 321947397955 386336877546 579505316319 643894795910 772673755092 965842193865 1159010632638 1223400112229 1287789591820 1931684387730 2318021265276 2446800224458 2897526581595 3670200336687 3863368775460 4893600448916 5795053163190 6117000561145 7340400673374 11010601010061 11590106326380 12234001122290 14680801346748 18351001683435 22021202020122 24468002244580 36702003366870 44042404040244 55053005050305 73404006733740 110106010100610 220212020201220