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11102002222212 = 223211181431359377
BaseRepresentation
bin1010000110001110001011…
…1001100001010010000100
31110022100012121211110002100
42201203202321201102010
52423343400032102322
635340104525112100
72224043651600346
oct241434271412204
943270177743070
1011102002222212
1135a037290a210
1212b37860b8630
13626bb69a8465
142a54a84ad296
15143bc6594dac
hexa18e2e61484

11102002222212 has 144 divisors (see below), whose sum is σ = 30855263572224. Its totient is φ = 3337884288000.

The previous prime is 11102002222211. The next prime is 11102002222217. The reversal of 11102002222212 is 21222220020111.

It is a happy number.

11102002222212 is a `hidden beast` number, since 11 + 10 + 200 + 222 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11102002222211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30712668 + ... + 31072044.

It is an arithmetic number, because the mean of its divisors is an integer number (214272663696).

Almost surely, 211102002222212 is an apocalyptic number.

11102002222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102002222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427631786112).

11102002222212 is an abundant number, since it is smaller than the sum of its proper divisors (19753261350012).

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

11102002222212 is a wasteful number, since it uses less digits than its factorization.

11102002222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360010 (or 360005 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11102002222212 its reverse (21222220020111), we get a palindrome (32324222242323).

The spelling of 11102002222212 in words is "eleven trillion, one hundred two billion, two million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 181 198 362 396 431 543 724 862 1086 1293 1629 1724 1991 2172 2586 3258 3879 3982 4741 5172 5973 6516 7758 7964 9482 11946 14223 15516 17919 18964 23892 28446 35838 42669 56892 71676 78011 85338 156022 170676 234033 312044 359377 468066 702099 718754 858121 936132 1078131 1404198 1437508 1716242 2156262 2574363 2808396 3234393 3432484 3953147 4312524 5148726 6468786 7723089 7906294 10297452 11859441 12937572 15446178 15812588 23718882 30892356 35578323 47437764 65047237 71156646 130094474 142313292 154891487 195141711 260188948 309782974 390283422 464674461 585425133 619565948 715519607 780566844 929348922 1170850266 1394023383 1431039214 1703806357 1858697844 2146558821 2341700532 2788046766 2862078428 3407612714 4293117642 5111419071 5576093532 6439676463 6815225428 8586235284 10222838142 12879352926 15334257213 20445676284 25758705852 28035359147 30668514426 56070718294 61337028852 84106077441 112141436588 168212154882 252318232323 308388950617 336424309764 504636464646 616777901234 925166851851 1009272929292 1233555802468 1850333703702 2775500555553 3700667407404 5551001111106 11102002222212