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22020021211120 = 24517691103122727
BaseRepresentation
bin1010000000110111011111…
…00010101100111111110000
32212222002112010202021001121
411000123233202230333300
510341234000412223440
6114455505203112024
74431615440015602
oct500335742547760
985862463667047
1022020021211120
11701a702a05099
122577764672614
13c3962c73b49a
14561abbb55172
15282bd08be34a
hex1406ef8acff0

22020021211120 has 160 divisors (see below), whose sum is σ = 54341605057536. Its totient is φ = 8269500518400.

The previous prime is 22020021211079. The next prime is 22020021211129. The reversal of 22020021211120 is 2111212002022.

It is a happy number.

It is a super-2 number, since 2×220200212111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22020021211094 and 22020021211103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020021211129) 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, 968881197 + ... + 968903923.

Almost surely, 222020021211120 is an apocalyptic number.

22020021211120 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 22020021211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170802528768).

22020021211120 is an abundant number, since it is smaller than the sum of its proper divisors (32321583846416).

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

22020021211120 is a wasteful number, since it uses less digits than its factorization.

22020021211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24479 (or 24473 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22020021211120 its reverse (2111212002022), we get a palindrome (24131233213142).

The spelling of 22020021211120 in words is "twenty-two trillion, twenty billion, twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 691 1031 1360 1382 2062 2764 3455 4124 5155 5528 6910 8248 10310 11056 11747 13820 16496 17527 20620 22727 23494 27640 35054 41240 45454 46988 55280 58735 70108 82480 87635 90908 93976 113635 117470 140216 175270 181816 187952 227270 234940 280432 350540 363632 386359 454540 469880 701080 712421 772718 909080 939760 1402160 1424842 1545436 1818160 1931795 2849684 3090872 3562105 3863590 5699368 6181744 7124210 7727180 11398736 12111157 14248420 15454360 15704357 23431537 24222314 28496840 30908720 31408714 46863074 48444628 56993680 60555785 62817428 78521785 93726148 96889256 117157685 121111570 125634856 157043570 187452296 193778512 234315370 242223140 251269712 266974069 314087140 374904592 398336129 468630740 484446280 533948138 628174280 796672258 937261480 968892560 1067896276 1256348560 1334870345 1593344516 1874522960 1991680645 2135792552 2669740690 3186689032 3983361290 4271585104 5339481380 6373378064 7966722580 10678962760 15933445160 16191192067 21357925520 31866890320 32382384134 64764768268 80955960335 129529536536 161911920670 259059073072 275250265139 323823841340 550500530278 647647682680 1101001060556 1295295365360 1376251325695 2202002121112 2752502651390 4404004242224 5505005302780 11010010605560 22020021211120