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21221110133223 = 37111329517947051
BaseRepresentation
bin1001101001100111011001…
…01110110011000111100111
32210010201101122121111101020
410310303230232303013213
510240141313143230343
6113044502102102223
74320113614630560
oct464635456630747
983121348544336
1021221110133223
116841905489720
122468962a1a973
13bac1b0264420
14535170287167
1526c022ec5b83
hex134cecbb31e7

21221110133223 has 128 divisors (see below), whose sum is σ = 39308671180800. Its totient is φ = 9822955968000.

The previous prime is 21221110133131. The next prime is 21221110133239. The reversal of 21221110133223 is 32233101112212.

It is not a de Polignac number, because 21221110133223 - 28 = 21221110132967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21221110133193 and 21221110133202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221110153223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 451000048 + ... + 451047098.

It is an arithmetic number, because the mean of its divisors is an integer number (307098993600).

Almost surely, 221221110133223 is an apocalyptic number.

21221110133223 is a deficient number, since it is larger than the sum of its proper divisors (18087561047577).

21221110133223 is a wasteful number, since it uses less digits than its factorization.

21221110133223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52293.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21221110133223 its reverse (32233101112212), we get a palindrome (53454211245435).

The spelling of 21221110133223 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred ten million, one hundred thirty-three thousand, two hundred twenty-three".

Divisors: 1 3 7 11 13 21 29 33 39 77 87 91 143 203 231 273 319 377 429 609 957 1001 1131 2233 2639 3003 4147 5179 6699 7917 12441 15537 29029 36253 47051 56969 67327 87087 108759 141153 150191 170907 201981 329357 398783 450573 471289 517561 611663 740597 988071 1051337 1196349 1364479 1413867 1552683 1652101 1834989 1952483 2221791 3154011 3622927 4093437 4281641 4956303 5184179 5857449 6728293 9551353 10868781 11564707 12844923 13667381 15009269 15552537 17738227 20184879 21477313 28654059 34694121 41002143 45027807 47098051 53214681 64431939 105064883 124167589 141294153 150341191 195120497 243677129 315194649 372502767 451023573 585361491 731031387 1365843479 1705739903 2680448419 3167802677 4097530437 5117219709 7066636741 8041345257 9503408031 18763138933 21199910223 22174618739 34845829447 49466457187 56289416799 66523856217 77733004151 91866277633 104537488341 148399371561 233199012453 243920806129 275598832899 544131029057 643063943431 731762418387 1010529053963 1632393087171 1929191830293 3031587161889 7073703377741 21221110133223