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11132100121 is a prime number
BaseRepresentation
bin10100101111000011…
…00101111000011001
31001201211000021112111
422113201211320121
5140244304200441
65040343312321
7542602201252
oct122741457031
931654007474
1011132100121
1147a286464a
1221a814b6a1
1310853c9cbc
14778659b29
15452485081
hex297865e19

11132100121 has 2 divisors, whose sum is σ = 11132100122. Its totient is φ = 11132100120.

The previous prime is 11132100097. The next prime is 11132100163. The reversal of 11132100121 is 12100123111.

It is a happy number.

11132100121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8287371225 + 2844728896 = 91035^2 + 53336^2 .

It is a cyclic number.

It is not a de Polignac number, because 11132100121 - 211 = 11132098073 is a prime.

It is not a weakly prime, because it can be changed into another prime (11132170121) 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 as a sum of consecutive naturals, namely, 5566050060 + 5566050061.

It is an arithmetic number, because the mean of its divisors is an integer number (5566050061).

Almost surely, 211132100121 is an apocalyptic number.

It is an amenable number.

11132100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11132100121 is an equidigital number, since it uses as much as digits as its factorization.

11132100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11132100121 its reverse (12100123111), we get a palindrome (23232223232).

The spelling of 11132100121 in words is "eleven billion, one hundred thirty-two million, one hundred thousand, one hundred twenty-one".