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12202210021100 = 22521131809442319
BaseRepresentation
bin1011000110010000110001…
…1001001100111011101100
31121012112000222220111022012
42301210030121030323230
53044410111231133400
641541341244340352
72366403065563511
oct261441431147354
947175028814265
1012202210021100
113984a2349a620
121450a535446b8
136a688183b748
143028393c9308
1516261a3e0d35
hexb190c64ceec

12202210021100 has 144 divisors (see below), whose sum is σ = 29854689177600. Its totient is φ = 4288715328000.

The previous prime is 12202210021093. The next prime is 12202210021123. The reversal of 12202210021100 is 112001220221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27365741 + ... + 27808059.

It is an arithmetic number, because the mean of its divisors is an integer number (207324230400).

Almost surely, 212202210021100 is an apocalyptic number.

12202210021100 is a gapful number since it is divisible by the number (10) 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 12202210021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14927344588800).

12202210021100 is an abundant number, since it is smaller than the sum of its proper divisors (17652479156500).

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

12202210021100 is a wasteful number, since it uses less digits than its factorization.

12202210021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443184 (or 443177 counting only the distinct ones).

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

Adding to 12202210021100 its reverse (112001220221), we get a palindrome (12314211241321).

The spelling of 12202210021100 in words is "twelve trillion, two hundred two billion, two hundred ten million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 809 1100 1364 1550 1618 1705 3100 3236 3410 4045 6820 8090 8525 8899 16180 17050 17798 20225 25079 34100 35596 40450 44495 50158 80900 88990 100316 125395 177980 222475 250790 275869 442319 444950 501580 551738 626975 884638 889900 1103476 1253950 1379345 1769276 2211595 2507900 2758690 4423190 4865509 5517380 6896725 8846380 9731018 11057975 13711889 13793450 19462036 22115950 24327545 27423778 27586900 44231900 48655090 54847556 68559445 97310180 121637725 137118890 150830779 243275450 274237780 301661558 342797225 357836071 486550900 603323116 685594450 715672142 754153895 1371188900 1431344284 1508307790 1789180355 3016615580 3578360710 3770769475 3936196781 7156721420 7541538950 7872393562 8945901775 11092918201 15083077900 15744787124 17891803550 19680983905 22185836402 35783607100 39361967810 44371672804 55464591005 78723935620 98404919525 110929182010 122022100211 196809839050 221858364020 244044200422 277322955025 393619678100 488088400844 554645910050 610110501055 1109291820100 1220221002110 2440442004220 3050552505275 6101105010550 12202210021100