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211002011221220 = 2251031931091486449
BaseRepresentation
bin101111111110011110111011…
…111011001111110011100100
31000200002121001221202100201122
4233332132323323033303210
5210124024104333034340
62024432552532313112
762305251352556642
oct5776367373176344
91020077057670648
10211002011221220
11612604a558355a
121b7b972a772798
13909753428895b
143a167a2336192
15195d9a70c5db5
hexbfe7bbecfce4

211002011221220 has 96 divisors (see below), whose sum is σ = 450137511532800. Its totient is φ = 83071931351040.

The previous prime is 211002011221189. The next prime is 211002011221229. The reversal of 211002011221220 is 22122110200112.

It is not an unprimeable number, because it can be changed into a prime (211002011221229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433516556 + ... + 434003004.

It is an arithmetic number, because the mean of its divisors is an integer number (4688932411800).

Almost surely, 2211002011221220 is an apocalyptic number.

211002011221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211002011221220 is an abundant number, since it is smaller than the sum of its proper divisors (239135500311580).

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

211002011221220 is a wasteful number, since it uses less digits than its factorization.

211002011221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487845 (or 487843 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211002011221220 its reverse (22122110200112), we get a palindrome (233124121421332).

The spelling of 211002011221220 in words is "two hundred eleven trillion, two billion, eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 103 193 206 386 412 515 772 965 1030 1091 1930 2060 2182 3860 4364 5455 10910 19879 21820 39758 79516 99395 112373 198790 210563 224746 397580 421126 449492 486449 561865 842252 972898 1052815 1123730 1945796 2105630 2247460 2432245 4211260 4864490 9728980 21687989 43375978 50104247 86751956 93884657 100208494 108439945 187769314 200416988 216879890 250521235 375538628 433759780 469423285 501042470 530715859 938846570 1002084940 1061431718 1877693140 2122863436 2653579295 5307158590 9670119671 10614317180 19340239342 38680478684 48350598355 54663733477 96701196710 102428160787 109327466954 193402393420 204856321574 218654933908 273318667385 409712643148 512140803935 546637334770 1024281607870 1093274669540 2048563215740 10550100561061 21100201122122 42200402244244 52750502805305 105501005610610 211002011221220