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11135132101 is a prime number
BaseRepresentation
bin10100101111011010…
…01010000111000101
31001202000201022122001
422113231022013011
5140301043211401
65040532305301
7542640026662
oct122755120705
931660638561
1011135132101
1147a4545615
1221a9172231
131085c1c082
14778c08a69
15452883601
hex297b4a1c5

11135132101 has 2 divisors, whose sum is σ = 11135132102. Its totient is φ = 11135132100.

The previous prime is 11135132083. The next prime is 11135132143. The reversal of 11135132101 is 10123153111.

11135132101 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., 6595876225 + 4539255876 = 81215^2 + 67374^2 .

It is a cyclic number.

It is not a de Polignac number, because 11135132101 - 25 = 11135132069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11135132171) 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, 5567566050 + 5567566051.

It is an arithmetic number, because the mean of its divisors is an integer number (5567566051).

Almost surely, 211135132101 is an apocalyptic number.

It is an amenable number.

11135132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11135132101 is an equidigital number, since it uses as much as digits as its factorization.

11135132101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 19.

Adding to 11135132101 its reverse (10123153111), we get a palindrome (21258285212).

The spelling of 11135132101 in words is "eleven billion, one hundred thirty-five million, one hundred thirty-two thousand, one hundred one".