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11011112222022 = 2341154156320287
BaseRepresentation
bin1010000000111011100101…
…1011101011110101000110
31102222122121100021001020000
42200032321123223311012
52420401224212101042
635230233553022130
72214345424414143
oct240167133536506
942878540231200
1011011112222022
113565871876880
12129a03b254946
1361b460681263
142a0d252d93ca
1514165701474c
hexa03b96ebd46

11011112222022 has 160 divisors (see below), whose sum is σ = 27015032715264. Its totient is φ = 3324453451200.

The previous prime is 11011112222021. The next prime is 11011112222027. The reversal of 11011112222022 is 22022221111011.

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 = 11011112221986 and 11011112222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011112222021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 542756763 + ... + 542777049.

Almost surely, 211011112222022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011112222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507516357632).

11011112222022 is an abundant number, since it is smaller than the sum of its proper divisors (16003920493242).

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

11011112222022 is a wasteful number, since it uses less digits than its factorization.

11011112222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21416 (or 21407 counting only the distinct ones).

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

Adding to 11011112222022 its reverse (22022221111011), we get a palindrome (33033333333033).

The spelling of 11011112222022 in words is "eleven trillion, eleven billion, one hundred twelve million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 541 563 594 891 1082 1126 1623 1689 1782 3246 3378 4869 5067 5951 6193 9738 10134 11902 12386 14607 15201 17853 18579 20287 29214 30402 35706 37158 40574 43821 45603 53559 55737 60861 87642 91206 107118 111474 121722 160677 167211 182583 223157 304583 321354 334422 365166 446314 482031 501633 547749 609166 669471 913749 964062 1003266 1095498 1338942 1643247 1827498 2008413 2741247 3286494 3350413 4016826 5482494 6025239 6700826 8223741 10051239 10975267 11421581 12050478 16447482 18075717 20102478 21950534 22843162 24671223 30153717 32925801 34264743 36151434 49342446 60307434 65851602 68529486 90461151 98777403 102794229 120727937 125637391 180922302 197554806 205588458 241455874 251274782 271383453 296332209 308382687 362183811 376912173 542766906 592664418 616765374 724367622 753824346 888996627 925148061 1086551433 1130736519 1777993254 1850296122 2173102866 2261473038 3259654299 3392209557 6179075321 6519308598 6784419114 9778962897 10176628671 12358150642 18537225963 19557925794 20353257342 37074451926 55611677889 67969828531 111223355778 135939657062 166835033667 203909485593 333670067334 407818971186 500505101001 611728456779 1001010202002 1223456913558 1835185370337 3670370740674 5505556111011 11011112222022