Search a number
-
+
11221100212011 = 331237105193541
BaseRepresentation
bin1010001101001001110110…
…1100010010111100101011
31110201201121202201012012120
42203102131230102330223
52432321303123241021
635510522520242323
72235461216032404
oct243223554227453
943651552635176
1011221100212011
113636929599758
1213128839103a3
136351b7044181
142ab165ad49ab
15146d472732c6
hexa349db12f2b

11221100212011 has 24 divisors (see below), whose sum is σ = 15877492455312. Its totient is φ = 7043759438400.

The previous prime is 11221100212009. The next prime is 11221100212013. The reversal of 11221100212011 is 11021200112211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11221100212009) and next prime (11221100212013).

It is not a de Polignac number, because 11221100212011 - 21 = 11221100212009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11221100212013) 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 23 ways as a sum of consecutive naturals, for example, 52490100 + ... + 52703441.

It is an arithmetic number, because the mean of its divisors is an integer number (661562185638).

Almost surely, 211221100212011 is an apocalyptic number.

11221100212011 is a deficient number, since it is larger than the sum of its proper divisors (4656392243301).

11221100212011 is a wasteful number, since it uses less digits than its factorization.

11221100212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105193643 (or 105193612 counting only the distinct ones).

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

Adding to 11221100212011 its reverse (11021200112211), we get a palindrome (22242300324222).

The spelling of 11221100212011 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, two hundred twelve thousand, eleven".

Divisors: 1 3 31 37 93 111 961 1147 2883 3441 35557 106671 105193541 315580623 3260999771 3892161017 9782999313 11676483051 101090992901 120656991527 303272978703 361970974581 3740366737337 11221100212011