Search a number
-
+
221011121021111 = 1929231803955501
BaseRepresentation
bin110010010000001000101001…
…010111000010000010110111
31001222112110100000200101200222
4302100020221113002002313
5212432021233440133421
62102015035104124555
764360345416244511
oct6220105127020267
91058473300611628
10221011121021111
116446a321083013
122095552930675b
13964234a8596c5
143c80dd129cbb1
151a84016b83cab
hexc902295c20b7

221011121021111 has 48 divisors (see below), whose sum is σ = 248749840435200. Its totient is φ = 195609874320000.

The previous prime is 221011121021063. The next prime is 221011121021153. The reversal of 221011121021111 is 111120121110122.

It is not a de Polignac number, because 221011121021111 - 222 = 221011116826807 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221011121021111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011121621111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3982082861 + ... + 3982138361.

It is an arithmetic number, because the mean of its divisors is an integer number (5182288342400).

Almost surely, 2221011121021111 is an apocalyptic number.

221011121021111 is a deficient number, since it is larger than the sum of its proper divisors (27738719414089).

221011121021111 is a wasteful number, since it uses less digits than its factorization.

221011121021111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63648 (or 63619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 221011121021111 its reverse (111120121110122), we get a palindrome (332131242131233).

The spelling of 221011121021111 in words is "two hundred twenty-one trillion, eleven billion, one hundred twenty-one million, twenty-one thousand, one hundred eleven".

Divisors: 1 19 29 31 551 589 841 899 8039 15979 17081 26071 55501 152741 233131 249209 495349 1054519 1609529 1720531 4429489 4734971 6760799 7227061 30581051 32690089 46676341 49895399 128455181 137314159 209584769 446172539 886850479 948012581 1446966571 3982110611 8477278241 12939003631 13831348709 27492364849 245841068989 262795625471 375231105299 401109112561 7129391000681 7621073138659 11632164264269 221011121021111