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211012201220220 = 223351921082446913
BaseRepresentation
bin101111111110101000011011…
…010011000000100001111100
31000200010120101010000221111000
4233332220123103000201330
5210124210442003021340
62024441400023330300
762306062025253561
oct5776503323004174
91020116333027430
10211012201220220
116126485456a634
121b7bb6b32b0990
13909849943b26a
143a1708b7d6868
15195dda19b4d30
hexbfea1b4c087c

211012201220220 has 144 divisors (see below), whose sum is σ = 692852620713120. Its totient is φ = 53308345522176.

The previous prime is 211012201220209. The next prime is 211012201220237. The reversal of 211012201220220 is 22022102210112.

It is a happy number.

211012201220220 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 1 + 220 + 1 + 220 + 220 = 666.

It is a super-2 number, since 2×2110122012202202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211012201220193 and 211012201220202.

It is a congruent number.

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, 541028517 + ... + 541418396.

It is an arithmetic number, because the mean of its divisors is an integer number (4811476532730).

Almost surely, 2211012201220220 is an apocalyptic number.

211012201220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012201220220 is an abundant number, since it is smaller than the sum of its proper divisors (481840419492900).

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

211012201220220 is a wasteful number, since it uses less digits than its factorization.

211012201220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082446969 (or 1082446942 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211012201220220 its reverse (22022102210112), we get a palindrome (233034303430332).

The spelling of 211012201220220 in words is "two hundred eleven trillion, twelve billion, two hundred one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 361 380 513 540 570 684 722 855 1026 1083 1140 1444 1710 1805 2052 2166 2565 3249 3420 3610 4332 5130 5415 6498 7220 9747 10260 10830 12996 16245 19494 21660 32490 38988 48735 64980 97470 194940 1082446913 2164893826 3247340739 4329787652 5412234565 6494681478 9742022217 10824469130 12989362956 16236703695 19484044434 20566491347 21648938260 29226066651 32473407390 38968088868 41132982694 48710111085 58452133302 61699474041 64946814780 82265965388 97420222170 102832456735 116904266604 123398948082 146130333255 185098422123 194840444340 205664913470 246797896164 292260666510 308497370205 370196844246 390763335593 411329826940 555295266369 584521333020 616994740410 740393688492 781526671186 925492110615 1110590532738 1172290006779 1233989480820 1563053342372 1850984221230 1953816677965 2221181065476 2344580013558 2776476331845 3516870020337 3701968442460 3907633355930 4689160027116 5552952663690 5861450033895 7033740040674 7815266711860 10550610061011 11105905327380 11722900067790 14067480081348 17584350101685 21101220122022 23445800135580 35168700203370 42202440244044 52753050305055 70337400406740 105506100610110 211012201220220