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11222002120021 = 731141533134373
BaseRepresentation
bin1010001101001101001101…
…1100110011010101010101
31110201210221121210212101221
42203103103130303111111
52432330130020320041
635511152215250341
72235522450106000
oct243232334632525
943653847725357
1011222002120021
113637251704580
121312a959799b1
136352cbb58154
142ab20d7ca537
15146d9b52a2d1
hexa34d3733555

11222002120021 has 128 divisors (see below), whose sum is σ = 14951773670400. Its totient is φ = 8341524172800.

The previous prime is 11222002120003. The next prime is 11222002120057. The reversal of 11222002120021 is 12002120022211.

It is a happy number.

It is not a de Polignac number, because 11222002120021 - 213 = 11222002111829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11222002119977 and 11222002120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222002120061) 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 127 ways as a sum of consecutive naturals, for example, 2566199991 + ... + 2566204363.

It is an arithmetic number, because the mean of its divisors is an integer number (116810731800).

Almost surely, 211222002120021 is an apocalyptic number.

11222002120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11222002120021 is a deficient number, since it is larger than the sum of its proper divisors (3729771550379).

11222002120021 is a wasteful number, since it uses less digits than its factorization.

11222002120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4798 counting only the distinct ones).

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

Adding to 11222002120021 its reverse (12002120022211), we get a palindrome (23224122142232).

The spelling of 11222002120021 in words is "eleven trillion, two hundred twenty-two billion, two million, one hundred twenty thousand, twenty-one".

Divisors: 1 7 11 41 49 53 77 287 313 343 371 451 539 583 2009 2173 2191 2597 3157 3443 3773 4081 4373 12833 14063 15211 15337 16589 18179 22099 23903 24101 28567 30611 48103 89831 106477 107359 116123 141163 154693 167321 168707 179293 182479 199969 214277 231769 336721 628817 680149 745339 812861 988141 1171247 1180949 1255051 1277353 1368749 1499939 1622383 1972223 2357047 2549459 4401719 4761043 5690027 6916987 7481639 8198729 8785357 8941471 9502529 9581243 11356681 13805561 15056239 16499329 17846213 33327301 48418909 52371473 56118709 61497499 62590297 66517703 67068701 72543697 79496767 96638927 104527819 105393673 124923491 233291107 366600311 392830963 465623921 469480907 507805879 617305799 676472489 731694733 737755711 797980667 874464437 2566202177 2749816741 2974291577 3259367447 3554641153 4321140593 5121863131 5164289977 5585864669 19248717187 20820041039 24882488071 30247984151 32717207347 35853041917 39101052683 145740287273 211735889057 229020451429 273707368781 1020182010911 1603143160003 11222002120021