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11220211112220 = 223251113734127293
BaseRepresentation
bin1010001101000110100010…
…1100101001100100011100
31110201122022210201020120200
42203101220230221210130
52432312443021042340
635510254355543500
72235430201562625
oct243215054514434
943648283636520
1011220211112220
113636512731940
121312675bbab90
136350a4a96016
142ab0bd9b4a4c
15146ce419b330
hexa3468b2991c

11220211112220 has 144 divisors (see below), whose sum is σ = 37155749615712. Its totient is φ = 2718069419520.

The previous prime is 11220211112219. The next prime is 11220211112281. The reversal of 11220211112220 is 2221111202211.

11220211112220 is a `hidden beast` number, since 1 + 1 + 220 + 211 + 1 + 12 + 220 = 666.

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 = 11220211112193 and 11220211112202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654894 + ... + 4782186.

It is an arithmetic number, because the mean of its divisors is an integer number (258026038998).

Almost surely, 211220211112220 is an apocalyptic number.

11220211112220 is a gapful number since it is divisible by the number (10) 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 11220211112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18577874807856).

11220211112220 is an abundant number, since it is smaller than the sum of its proper divisors (25935538503492).

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

11220211112220 is a wasteful number, since it uses less digits than its factorization.

11220211112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128692 (or 4128687 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11220211112220 its reverse (2221111202211), we get a palindrome (13441322314431).

The spelling of 11220211112220 in words is "eleven trillion, two hundred twenty billion, two hundred eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1373 1980 2746 4119 5492 6865 8238 12357 13730 15103 16476 20595 24714 27460 30206 41190 45309 49428 60412 61785 75515 82380 90618 123570 135927 151030 181236 226545 247140 271854 302060 453090 543708 679635 906180 1359270 2718540 4127293 8254586 12381879 16509172 20636465 24763758 37145637 41272930 45400223 49527516 61909395 74291274 82545860 90800446 123818790 136200669 148582548 181600892 185728185 227001115 247637580 272401338 371456370 408602007 454002230 544802676 681003345 742912740 817204014 908004460 1362006690 1634408028 2043010035 2724013380 4086020070 5666773289 8172040140 11333546578 17000319867 22667093156 28333866445 34000639734 51000959601 56667732890 62334506179 68001279468 85001599335 102001919202 113335465780 124669012358 170003198670 187003518537 204003838404 249338024716 255004798005 311672530895 340006397340 374007037074 510009596010 561010555611 623345061790 748014074148 935017592685 1020019192020 1122021111222 1246690123580 1870035185370 2244042222444 2805052778055 3740070370740 5610105556110 11220211112220