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20212100221110 = 23571725492221127
BaseRepresentation
bin1001001100001111111110…
…00011011100100010110110
32122120020222000110010000120
410212013333003130202312
510122123340124033420
6110553151033552410
74154163454115310
oct446077703344266
978506860403016
1020212100221110
1164929a3712476
1223252a7575706
13b37cba457a55
144dc3b13a87b0
15250b6a775d40
hex1261ff0dc8b6

20212100221110 has 128 divisors (see below), whose sum is σ = 58723070515200. Its totient is φ = 4346441508864.

The previous prime is 20212100221021. The next prime is 20212100221121. The reversal of 20212100221110 is 1112200121202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20212100221110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7989367 + ... + 10210493.

It is an arithmetic number, because the mean of its divisors is an integer number (458773988400).

Almost surely, 220212100221110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212100221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29361535257600).

20212100221110 is an abundant number, since it is smaller than the sum of its proper divisors (38510970294090).

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

20212100221110 is a wasteful number, since it uses less digits than its factorization.

20212100221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223710.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20212100221110 its reverse (1112200121202), we get a palindrome (21324300342312).

The spelling of 20212100221110 in words is "twenty trillion, two hundred twelve billion, one hundred million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 2549 3570 5098 7647 12745 15294 17843 25490 35686 38235 43333 53529 76470 86666 89215 107058 129999 178430 216665 259998 267645 303331 433330 535290 606662 649995 909993 1299990 1516655 1819986 2221127 3033310 4442254 4549965 6663381 9099930 11105635 13326762 15547889 22211270 31095778 33316905 37759159 46643667 66633810 75518318 77739445 93287334 113277477 155478890 188795795 226554954 233218335 264314113 377591590 466436670 528628226 566387385 792942339 1132774770 1321570565 1585884678 2643141130 3964711695 5661652723 7929423390 11323305446 16984958169 28308263615 33969916338 39631569061 56616527230 79263138122 84924790845 96248096291 118894707183 169849581690 192496192582 198157845305 237789414366 288744288873 396315690610 481240481455 577488577746 594473535915 673736674037 962480962910 1188947071830 1347473348074 1443721444365 2021210022111 2887442888730 3368683370185 4042420044222 6737366740370 10106050110555 20212100221110