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11212212011 = 7111317658883
BaseRepresentation
bin10100111000100110…
…01100011100101011
31001221101202101101112
422130103030130223
5140430311241021
65052324340535
7544564141520
oct123423143453
931841671345
1011212212011
114834001920
12220ab4474b
131098b992a0
14785151147
1545950bd5b
hex29c4cc72b

11212212011 has 32 divisors (see below), whose sum is σ = 15939721728. Its totient is φ = 7590320640.

The previous prime is 11212211993. The next prime is 11212212013. The reversal of 11212212011 is 11021221211.

11212212011 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 11212212011 - 226 = 11145103147 is a prime.

It is a super-2 number, since 2×112122120112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11212212013) 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, 312425 + ... + 346458.

It is an arithmetic number, because the mean of its divisors is an integer number (498116304).

Almost surely, 211212212011 is an apocalyptic number.

11212212011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11212212011 is a deficient number, since it is larger than the sum of its proper divisors (4727509717).

11212212011 is a wasteful number, since it uses less digits than its factorization.

11212212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658931.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11212212011 its reverse (11021221211), we get a palindrome (22233433222).

The spelling of 11212212011 in words is "eleven billion, two hundred twelve million, two hundred twelve thousand, eleven".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 1001 1309 1547 2431 17017 658883 4612181 7247713 8565479 11201011 50733991 59958353 78407077 94220269 123211121 145613143 659541883 862477847 1019292001 1601744573 11212212011