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11132122331 = 112160957179
BaseRepresentation
bin10100101111000011…
…01011010011011011
31001201211001102000002
422113201223103123
5140244310403311
65040344003215
7542602323101
oct122741532333
931654042002
1011132122331
1147a287a300
1221a816050b
131085407145
14778663c71
1545248b93b
hex29786b4db

11132122331 has 12 divisors (see below), whose sum is σ = 12243953400. Its totient is φ = 10113644640.

The previous prime is 11132122321. The next prime is 11132122343. The reversal of 11132122331 is 13322123111.

It is a happy number.

It is not a de Polignac number, because 11132122331 - 210 = 11132121307 is a prime.

It is a super-3 number, since 3×111321223313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11132122321) 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 11 ways as a sum of consecutive naturals, for example, 166100 + ... + 223278.

It is an arithmetic number, because the mean of its divisors is an integer number (1020329450).

Almost surely, 211132122331 is an apocalyptic number.

11132122331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11132122331 is a deficient number, since it is larger than the sum of its proper divisors (1111831069).

11132122331 is a wasteful number, since it uses less digits than its factorization.

11132122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58810 (or 58799 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

Adding to 11132122331 its reverse (13322123111), we get a palindrome (24454245442).

The spelling of 11132122331 in words is "eleven billion, one hundred thirty-two million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 11 121 1609 17699 57179 194689 628969 6918659 92001011 1012011121 11132122331