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11132212312221 = 37111337846711833
BaseRepresentation
bin1010000111111110101110…
…0011110111100010011101
31110102020012000110000202220
42201333223203313202131
52424342232322442341
635402022344135553
72226163412246460
oct241775343674235
943366160400686
1011132212312221
1136021656a7a50
1212b95b74675b9
136299bc74b370
142a6b327a52d7
1514489386ca66
hexa1feb8f789d

11132212312221 has 128 divisors (see below), whose sum is σ = 20471764217856. Its totient is φ = 5192797870080.

The previous prime is 11132212312219. The next prime is 11132212312283. The reversal of 11132212312221 is 12221321223111.

It is not a de Polignac number, because 11132212312221 - 21 = 11132212312219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11132212312191 and 11132212312200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132212312321) 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, 940770921 + ... + 940782753.

It is an arithmetic number, because the mean of its divisors is an integer number (159935657952).

Almost surely, 211132212312221 is an apocalyptic number.

11132212312221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11132212312221 is a deficient number, since it is larger than the sum of its proper divisors (9339551905635).

11132212312221 is a wasteful number, since it uses less digits than its factorization.

11132212312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20371.

The product of its digits is 576, while the sum is 24.

Adding to 11132212312221 its reverse (12221321223111), we get a palindrome (23353533535332).

The spelling of 11132212312221 in words is "eleven trillion, one hundred thirty-two billion, two hundred twelve million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8467 8547 10101 11833 15873 25401 35499 37037 59269 82831 93137 110071 111111 130163 153829 177807 248493 279411 313279 330213 390489 437821 461487 651959 770497 911141 939837 1076803 1210781 1313463 1692119 1955877 2192953 2311491 2733423 3064747 3230409 3446069 3632343 4072627 4816031 5076357 5691673 6578859 8475467 9194241 10338207 11844833 12217881 14448093 17075019 24122483 25426401 28508389 33712217 35534499 39841711 44798897 62608403 72367449 85525167 100190011 101136651 119525133 134396691 187825209 300570033 313592279 438258821 701330077 940776837 1102090121 1302470143 1314776463 2103990231 3306270363 3707030407 3907410429 7714630847 9117291001 11121091221 14327171573 23143892541 25949212849 27351873003 40777334477 42981514719 48191395291 77847638547 100290201011 122332003431 144574185873 285441341339 300870603033 337339767037 530105348201 856324024017 1012019301111 1590316044603 3710737437407 11132212312221