Search a number
-
+
11020000444011 = 3313219127109363
BaseRepresentation
bin1010000001011100101100…
…1101100011111001101011
31110000111112210000111122000
42200113023031203321223
52421022430103202021
635234303542302043
72215111612146606
oct240271315437153
943014483014560
1011020000444011
113569612a61589
12129b8bba27923
1361c248c25b00
142a152993533d
151419c74b1b26
hexa05cb363e6b

11020000444011 has 48 divisors (see below), whose sum is σ = 18608810889600. Its totient is φ = 6424615592928.

The previous prime is 11020000443983. The next prime is 11020000444039. The reversal of 11020000444011 is 11044400002011.

11020000444011 is a `hidden beast` number, since 1 + 10 + 200 + 0 + 0 + 4 + 440 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (11020000443983) and next prime (11020000444039).

It is not a de Polignac number, because 11020000444011 - 29 = 11020000443499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11020000444511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63467985 + ... + 63641378.

It is an arithmetic number, because the mean of its divisors is an integer number (387683560200).

Almost surely, 211020000444011 is an apocalyptic number.

11020000444011 is a deficient number, since it is larger than the sum of its proper divisors (7588810445589).

11020000444011 is a wasteful number, since it uses less digits than its factorization.

11020000444011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127109417 (or 127109398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11020000444011 its reverse (11044400002011), we get a palindrome (22064400446022).

The spelling of 11020000444011 in words is "eleven trillion, twenty billion, four hundred forty-four thousand, eleven".

Divisors: 1 3 9 13 19 27 39 57 117 169 171 247 351 507 513 741 1521 2223 3211 4563 6669 9633 28899 86697 127109363 381328089 1143984267 1652421719 2415077897 3431952801 4957265157 7245233691 14871795471 21481482347 21735701073 31396012661 44615386413 64444447041 65207103219 94188037983 193333341123 282564113949 408148164593 580000023369 847692341847 1224444493779 3673333481337 11020000444011