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11222110022121 = 3347197239187823
BaseRepresentation
bin1010001101001101100111…
…1000011010100111101001
31110201211020010211212021000
42203103121320122213221
52432330340131201441
635511211032105213
72235525230212245
oct243233170324751
943654203755230
1011222110022121
1136372a7602a69
121312b05b35209
1363531830764b
142ab21dc77425
15146da5c412b6
hexa34d9e1a9e9

11222110022121 has 64 divisors (see below), whose sum is σ = 17136761241600. Its totient is φ = 7254539103168.

The previous prime is 11222110022113. The next prime is 11222110022159. The reversal of 11222110022121 is 12122001122211.

It is not a de Polignac number, because 11222110022121 - 23 = 11222110022113 is a prime.

It is a super-2 number, since 2×112221100221212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11222110022094 and 11222110022103.

It is not an unprimeable number, because it can be changed into a prime (11222110022111) 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 63 ways as a sum of consecutive naturals, for example, 59654416 + ... + 59842238.

It is an arithmetic number, because the mean of its divisors is an integer number (267761894400).

Almost surely, 211222110022121 is an apocalyptic number.

It is an amenable number.

11222110022121 is a deficient number, since it is larger than the sum of its proper divisors (5914651219479).

11222110022121 is a wasteful number, since it uses less digits than its factorization.

11222110022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188315 (or 188309 counting only the distinct ones).

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

Adding to 11222110022121 its reverse (12122001122211), we get a palindrome (23344111144332).

The spelling of 11222110022121 in words is "eleven trillion, two hundred twenty-two billion, one hundred ten million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 47 141 197 239 423 591 717 1269 1773 2151 5319 6453 9259 11233 27777 33699 47083 83331 101097 141249 187823 249993 303291 423747 563469 1271241 1690407 2212901 5071221 6638703 8827681 19916109 26483043 37001131 44889697 59748327 79449129 111003393 134669091 238347387 333010179 404007273 999030537 1212021819 1739053157 2109815759 5217159471 6329447277 8843270309 15651478413 18988341831 26529810927 46954435239 56965025493 79589432781 238768298343 415633704523 1246901113569 3740703340707 11222110022121