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212220200100 = 2235210128324749
BaseRepresentation
bin1100010110100101001…
…1110100010010100100
3202021202222202011121010
43011221103310102210
511434111332400400
6241254223222220
721222004636356
oct3055123642244
9667688664533
10212220200100
1182002852427
1235168147970
1317020c914cc
14a3b305d0d6
1557c11de450
hex31694f44a4

212220200100 has 144 divisors (see below), whose sum is σ = 622319544000. Its totient is φ = 55831488000.

The previous prime is 212220200099. The next prime is 212220200141. The reversal of 212220200100 is 1002022212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8562526 + ... + 8587274.

It is an arithmetic number, because the mean of its divisors is an integer number (4321663500).

Almost surely, 2212220200100 is an apocalyptic number.

212220200100 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 212220200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311159772000).

212220200100 is an abundant number, since it is smaller than the sum of its proper divisors (410099343900).

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

212220200100 is a wasteful number, since it uses less digits than its factorization.

212220200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25150 (or 25143 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212220200100 its reverse (1002022212), we get a palindrome (213222222312).

The spelling of 212220200100 in words is "two hundred twelve billion, two hundred twenty million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 283 300 303 404 505 566 606 849 1010 1132 1212 1415 1515 1698 2020 2525 2830 3030 3396 4245 5050 5660 6060 7075 7575 8490 10100 14150 15150 16980 21225 24749 28300 28583 30300 42450 49498 57166 74247 84900 85749 98996 114332 123745 142915 148494 171498 247490 285830 296988 342996 371235 428745 494980 571660 618725 714575 742470 857490 1237450 1429150 1484940 1714980 1856175 2143725 2474900 2499649 2858300 3712350 4287450 4999298 7003967 7424700 7498947 8574900 9998596 12498245 14007934 14997894 21011901 24996490 28015868 29995788 35019835 37494735 42023802 49992980 62491225 70039670 74989470 84047604 105059505 124982450 140079340 149978940 175099175 187473675 210119010 249964900 350198350 374947350 420238020 525297525 700396700 707400667 749894700 1050595050 1414801334 2101190100 2122202001 2829602668 3537003335 4244404002 7074006670 8488808004 10611010005 14148013340 17685016675 21222020010 35370033350 42444040020 53055050025 70740066700 106110100050 212220200100