Search a number
-
+
12221102011011 = 31272273074331063
BaseRepresentation
bin1011000111010111001001…
…1100011011001010000011
31121021022210121112000110020
42301311302130123022003
53100212304103323021
641554144033304523
72400642205053345
oct261656234331203
947238717460406
1012221102011011
113991a38533223
121454646405143
136a85a27bc7ba
1430370c489295
15162d73c427c6
hexb1d7271b283

12221102011011 has 64 divisors (see below), whose sum is σ = 16603012005888. Its totient is φ = 7995371908608.

The previous prime is 12221102011007. The next prime is 12221102011033. The reversal of 12221102011011 is 11011020112221.

It is a happy number.

12221102011011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12221102011011 - 22 = 12221102011007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221102011051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11496802866 + ... + 11496803928.

It is an arithmetic number, because the mean of its divisors is an integer number (259422062592).

Almost surely, 212221102011011 is an apocalyptic number.

12221102011011 is a deficient number, since it is larger than the sum of its proper divisors (4381909994877).

12221102011011 is a wasteful number, since it uses less digits than its factorization.

12221102011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12221102011011 its reverse (11011020112221), we get a palindrome (23232122123232).

The spelling of 12221102011011 in words is "twelve trillion, two hundred twenty-one billion, one hundred two million, eleven thousand, eleven".

Divisors: 1 3 127 227 307 381 433 681 921 1063 1299 3189 28829 38989 54991 69689 86487 98291 116967 132931 135001 164973 209067 241301 294873 326341 398793 405003 460279 723903 979023 1380837 8850503 12482957 16882237 26551509 30175337 30645227 37448871 41445307 50646711 58455433 74079407 90526011 91935681 104483333 124335921 141305653 175366299 222238221 313449999 423916959 3832267799 9408084689 11496803397 13269383291 17945817931 28224254067 32076383231 39808149873 53837453793 96229149693 4073700670337 12221102011011