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22101202101220 = 225112163397141131
BaseRepresentation
bin1010000011001110101100…
…10011001110001111100100
32220020212001202220202201221
411001213112103032033210
510344101230214214340
6115001052503230124
74440521251134514
oct501472623161744
986225052822657
1022101202101220
117051081455400
12258b43ba48344
13c44199406528
145659bd687844
15284d828a144a
hex1419d64ce3e4

22101202101220 has 144 divisors (see below), whose sum is σ = 51458052711744. Its totient is φ = 7967319148800.

The previous prime is 22101202101193. The next prime is 22101202101221. The reversal of 22101202101220 is 2210120210122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22101202101194 and 22101202101203.

It is not an unprimeable number, because it can be changed into a prime (22101202101221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156530055 + ... + 156671185.

It is an arithmetic number, because the mean of its divisors is an integer number (357347588276).

Almost surely, 222101202101220 is an apocalyptic number.

22101202101220 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 22101202101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25729026355872).

22101202101220 is an abundant number, since it is smaller than the sum of its proper divisors (29356850610524).

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

22101202101220 is a wasteful number, since it uses less digits than its factorization.

22101202101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141722 (or 141709 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22101202101220 its reverse (2210120210122), we get a palindrome (24311322311342).

The spelling of 22101202101220 in words is "twenty-two trillion, one hundred one billion, two hundred two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 163 220 242 326 397 484 605 652 794 815 1210 1588 1630 1793 1985 2420 3260 3586 3970 4367 7172 7940 8734 8965 17468 17930 19723 21835 35860 39446 43670 48037 64711 78892 87340 96074 98615 129422 141131 192148 197230 240185 258844 282262 323555 394460 480370 564524 647110 705655 711821 960740 1294220 1411310 1423642 1552441 2822620 2847284 3104882 3559105 6209764 7118210 7762205 7830031 14236420 15524410 15660062 17076851 23004353 31048820 31320124 34153702 39150155 46008706 56029007 68307404 78300310 85384255 92017412 112058014 115021765 156600620 170768510 224116028 230043530 253047883 280145035 341537020 460087060 506095766 560290070 616319077 1012191532 1120580140 1232638154 1265239415 2465276308 2530478830 2783526713 3081595385 5060957660 5567053426 6163190770 6779509847 9132728141 11134106852 12326381540 13559019694 13917633565 18265456282 27118039388 27835267130 33897549235 36530912564 45663640705 55670534260 67795098470 91327281410 100460009551 135590196940 182654562820 200920019102 401840038204 502300047755 1004600095510 1105060105061 2009200191020 2210120210122 4420240420244 5525300525305 11050601050610 22101202101220