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11083305749 is a prime number
BaseRepresentation
bin10100101001001110…
…11101001100010101
31001121102012021020112
422110213131030111
5140144311240444
65031441412405
7541440354515
oct122447351425
931542167215
1011083305749
11477826771a
12219393a105
1310782745a9
14771d97845
1544d04769e
hex2949dd315

11083305749 has 2 divisors, whose sum is σ = 11083305750. Its totient is φ = 11083305748.

The previous prime is 11083305731. The next prime is 11083305767. The reversal of 11083305749 is 94750338011.

11083305749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (11083305731) and next prime (11083305767).

It can be written as a sum of positive squares in only one way, i.e., 10110302500 + 973003249 = 100550^2 + 31193^2 .

It is a cyclic number.

It is not a de Polignac number, because 11083305749 - 224 = 11066528533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11083305719) 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, 5541652874 + 5541652875.

It is an arithmetic number, because the mean of its divisors is an integer number (5541652875).

Almost surely, 211083305749 is an apocalyptic number.

It is an amenable number.

11083305749 is a deficient number, since it is larger than the sum of its proper divisors (1).

11083305749 is an equidigital number, since it uses as much as digits as its factorization.

11083305749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 11083305749 in words is "eleven billion, eighty-three million, three hundred five thousand, seven hundred forty-nine".