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11022121210221 = 3211832418116863
BaseRepresentation
bin1010000001100100100110…
…0111101001000101101101
31110000201000120121120221200
42200121021213221011231
52421041301012211341
635235254221520113
72215215303313512
oct240311147510555
943021016546850
1011022121210221
11356a501093630
1212a01b2113039
1361c4c6404a64
142a168b469309
15141a9d77bdb6
hexa06499e916d

11022121210221 has 96 divisors (see below), whose sum is σ = 17674720487424. Its totient is φ = 6563146176000.

The previous prime is 11022121210171. The next prime is 11022121210283. The reversal of 11022121210221 is 12201212122011.

11022121210221 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 212 + 10 + 221 = 666.

It is not a de Polignac number, because 11022121210221 - 223 = 11022112821613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11022121210194 and 11022121210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022121210721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1606017436 + ... + 1606024298.

It is an arithmetic number, because the mean of its divisors is an integer number (184111671744).

Almost surely, 211022121210221 is an apocalyptic number.

11022121210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11022121210221 is a deficient number, since it is larger than the sum of its proper divisors (6652599277203).

11022121210221 is a wasteful number, since it uses less digits than its factorization.

11022121210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8015 (or 8012 counting only the distinct ones).

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

Adding to 11022121210221 its reverse (12201212122011), we get a palindrome (23223333332232).

The spelling of 11022121210221 in words is "eleven trillion, twenty-two billion, one hundred twenty-one million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 83 99 241 249 723 747 811 913 2169 2433 2651 2739 6863 7299 7953 8217 8921 20003 20589 23859 26763 60009 61767 67313 75493 80289 180027 195451 201939 220033 226479 569629 586353 605817 660099 679437 740443 1653983 1708887 1759059 1980297 2149961 2221329 4961949 5126661 5565893 6265919 6449883 6663987 14885847 16222433 16697679 18193813 18797757 19349649 48667299 50093037 54581439 56393271 61224823 137280589 146001897 163744317 178446763 183674469 411841767 461969119 535340289 551023407 1235525301 1341380213 1385907357 1510086479 1606020867 4024140639 4157722071 4530259437 5081660309 12072421917 13590778311 14755182343 15244980927 44265547029 45734942781 111334557679 132796641087 334003673037 1002011019111 1224680134469 3674040403407 11022121210221