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11222222002212 = 22313199902940037
BaseRepresentation
bin1010001101001110000010…
…0011100101100000100100
31110201211111221120001001210
42203103200203211200210
52432331102313032322
635511230112151420
72235531060061644
oct243234043454044
943654457501053
1011222222002212
1136373548372a1
121312b37538570
13635335584060
142ab230aa6524
15146db09b070c
hexa34e08e5824

11222222002212 has 96 divisors (see below), whose sum is σ = 28344982176000. Its totient is φ = 3435173356032.

The previous prime is 11222222002163. The next prime is 11222222002213. The reversal of 11222222002212 is 21220022222211.

It is a super-2 number, since 2×112222220022122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11222222002213) 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 31 ways as a sum of consecutive naturals, for example, 280276258 + ... + 280316294.

It is an arithmetic number, because the mean of its divisors is an integer number (295260231000).

Almost surely, 211222222002212 is an apocalyptic number.

11222222002212 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 11222222002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172491088000).

11222222002212 is an abundant number, since it is smaller than the sum of its proper divisors (17122760173788).

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

11222222002212 is a wasteful number, since it uses less digits than its factorization.

11222222002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49285 (or 49283 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11222222002212 its reverse (21220022222211), we get a palindrome (32442244224423).

The spelling of 11222222002212 in words is "eleven trillion, two hundred twenty-two billion, two hundred twenty-two million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 199 398 597 796 1194 2388 2587 5174 7761 9029 10348 15522 18058 27087 31044 36116 40037 54174 80074 108348 117377 120111 160148 234754 240222 352131 469508 480444 520481 704262 1040962 1408524 1561443 1796771 2081924 3122886 3593542 5390313 6245772 7187084 7967363 10780626 15934726 21561252 23358023 23902089 31869452 46716046 47804178 70074069 93432092 95608356 103575719 140148138 207151438 280296276 310727157 361494073 414302876 621454314 722988146 1084482219 1242908628 1445976292 2168964438 4337928876 4699422949 9398845898 14098268847 18797691796 28196537694 56393075388 71937320527 143874641054 215811961581 287749282108 431623923162 863247846324 935185166851 1870370333702 2805555500553 3740740667404 5611111001106 11222222002212