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21220021232120 = 235101149155322699
BaseRepresentation
bin1001101001100101010111…
…10100111110000111111000
32210010121120202122120212202
410310302223310332013320
510240132100413411440
6113044202043125332
74320044623262024
oct464625364760770
983117522576782
1021220021232120
1168413a6865157
1224686ba213848
13bac06879b549
145350a97d7384
1526beac5d3615
hex134cabd3e1f8

21220021232120 has 128 divisors (see below), whose sum is σ = 48574776600000. Its totient is φ = 8341823692800.

The previous prime is 21220021232093. The next prime is 21220021232153. The reversal of 21220021232120 is 2123212002212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21220021232092 and 21220021232101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934832531 + ... + 934855229.

Almost surely, 221220021232120 is an apocalyptic number.

21220021232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220021232120 is an abundant number, since it is smaller than the sum of its proper divisors (27354755367880).

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

21220021232120 is a wasteful number, since it uses less digits than its factorization.

21220021232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24513 (or 24509 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21220021232120 its reverse (2123212002212), we get a palindrome (23343233234332).

The spelling of 21220021232120 in words is "twenty-one trillion, two hundred twenty billion, twenty-one million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 149 202 298 404 505 596 745 808 1010 1192 1490 1553 2020 2980 3106 4040 5960 6212 7765 12424 15049 15530 22699 30098 31060 45398 60196 62120 75245 90796 113495 120392 150490 156853 181592 226990 231397 300980 313706 453980 462794 601960 627412 784265 907960 925588 1156985 1254824 1568530 1851176 2292599 2313970 3137060 3382151 4585198 4627940 6274120 6764302 9170396 9255880 11462995 13528604 16910755 18340792 22925990 23371097 27057208 33821510 35251547 45851980 46742194 67643020 70503094 91703960 93484388 116855485 135286040 141006188 176257735 186968776 233710970 282012376 341597251 352515470 467421940 683194502 705030940 934843880 1366389004 1410061880 1707986255 2732778008 3415972510 3560406247 5252480503 6831945020 7120812494 10504961006 13663890040 14241624988 17802031235 21009922012 26262402515 28483249976 35604062470 42019844024 52524805030 71208124940 105049610060 142416249880 210099220120 530500530803 1061001061606 2122002123212 2652502654015 4244004246424 5305005308030 10610010616060 21220021232120