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11041330041 = 3271511736709
BaseRepresentation
bin10100100100001110…
…10101001101111001
31001111111012200101200
422102013111031321
5140103040030131
65023342004413
7540420520410
oct122207251571
931444180350
1011041330041
1147565a7755
122181876709
13106c6686b1
1476a58c477
154495052e6
hex2921d5379

11041330041 has 48 divisors (see below), whose sum is σ = 18456472320. Its totient is φ = 6230390400.

The previous prime is 11041329991. The next prime is 11041330073. The reversal of 11041330041 is 14003314011.

11041330041 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 11041330041 - 211 = 11041327993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11041329996 and 11041330023.

It is not an unprimeable number, because it can be changed into a prime (11041330541) 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 47 ways as a sum of consecutive naturals, for example, 1642395 + ... + 1649103.

It is an arithmetic number, because the mean of its divisors is an integer number (384509840).

Almost surely, 211041330041 is an apocalyptic number.

It is an amenable number.

11041330041 is a deficient number, since it is larger than the sum of its proper divisors (7415142279).

11041330041 is a wasteful number, since it uses less digits than its factorization.

11041330041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11041330041 its reverse (14003314011), we get a palindrome (25044644052).

The spelling of 11041330041 in words is "eleven billion, forty-one million, three hundred thirty thousand, forty-one".

Divisors: 1 3 7 9 21 63 151 173 453 519 1057 1211 1359 1557 3171 3633 6709 9513 10899 20127 26123 46963 60381 78369 140889 182861 235107 422667 548583 1013059 1160657 1645749 3039177 3481971 7091413 8124599 9117531 10445913 21274239 24373797 63822717 73121391 175259207 525777621 1226814449 1577332863 3680443347 11041330041