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20110211011120 = 2451943842336529
BaseRepresentation
bin1001001001010010001011…
…11110111101001000110000
32122012111222011220221212111
410210221011332331020300
510113441203004323440
6110434300422335104
74143625530120046
oct444510576751060
978174864827774
1020110211011120
1164537689309aa
1223095b0b8a494
13b2b500421a99
144d74a748c396
1524d1a57604ea
hex124a45fbd230

20110211011120 has 160 divisors (see below), whose sum is σ = 50369036889600. Its totient is φ = 7442398236672.

The previous prime is 20110211011091. The next prime is 20110211011127. The reversal of 20110211011120 is 2111011201102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20110211011120.

It is not an unprimeable number, because it can be changed into a prime (20110211011127) 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, 550509016 + ... + 550545544.

It is an arithmetic number, because the mean of its divisors is an integer number (314806480560).

Almost surely, 220110211011120 is an apocalyptic number.

20110211011120 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 20110211011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25184518444800).

20110211011120 is an abundant number, since it is smaller than the sum of its proper divisors (30258825878480).

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

20110211011120 is a wasteful number, since it uses less digits than its factorization.

20110211011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45027 (or 45021 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 20110211011120 its reverse (2111011201102), we get a palindrome (22221222212222).

The spelling of 20110211011120 in words is "twenty trillion, one hundred ten billion, two hundred eleven million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 76 80 86 95 152 172 190 215 304 344 380 430 688 760 817 860 1520 1634 1720 3268 3440 4085 6536 8170 8423 13072 16340 16846 32680 33692 36529 42115 65360 67384 73058 84230 134768 146116 160037 168460 182645 292232 320074 336920 362189 365290 584464 640148 673840 694051 724378 730580 800185 1280296 1388102 1448756 1461160 1570747 1600370 1810945 2560592 2776204 2897512 2922320 3141494 3200740 3470255 3621890 5552408 5795024 6282988 6401480 6881591 6940510 7243780 7853735 11104816 12565976 12802960 13763182 13881020 14487560 15707470 25131952 27526364 27762040 28975120 29844193 31414940 34407955 55052728 55524080 59688386 62829880 68815910 110105456 119376772 125659760 137631820 149220965 238753544 275263640 298441930 307683767 477507088 550527280 596883860 615367534 1193767720 1230735068 1538418835 2387535440 2461470136 3076837670 4922940272 5845991573 6153675340 11691983146 12307350680 13230401981 23383966292 24614701360 26460803962 29229957865 46767932584 52921607924 58459915730 66152009905 93535865168 105843215848 116919831460 132304019810 211686431696 233839662920 251377637639 264608039620 467679325840 502755275278 529216079240 1005510550556 1058432158480 1256888188195 2011021101112 2513776376390 4022042202224 5027552752780 10055105505560 20110211011120