Search a number
-
+
11123101011 = 3111967264779
BaseRepresentation
bin10100101101111110…
…10000110101010011
31001201012002002002010
422112333100311103
5140240003213021
65035422354003
7542432540631
oct122677206523
931635062063
1011123101011
114798778470
1221a512b903
131083598b99
14777396351
154517a8976
hex296fd0d53

11123101011 has 32 divisors (see below), whose sum is σ = 17284838400. Its totient is φ = 6291125280.

The previous prime is 11123101009. The next prime is 11123101019. The reversal of 11123101011 is 11010132111.

It is not a de Polignac number, because 11123101011 - 21 = 11123101009 is a prime.

It is a super-2 number, since 2×111231010112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11123101019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90381 + ... + 174398.

It is an arithmetic number, because the mean of its divisors is an integer number (540151200).

Almost surely, 211123101011 is an apocalyptic number.

11123101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11123101011 is a deficient number, since it is larger than the sum of its proper divisors (6161737389).

11123101011 is a wasteful number, since it uses less digits than its factorization.

11123101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264879.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11123101011 its reverse (11010132111), we get a palindrome (22133233122).

The spelling of 11123101011 in words is "eleven billion, one hundred twenty-three million, one hundred one thousand, eleven".

Divisors: 1 3 11 19 33 57 67 201 209 627 737 1273 2211 3819 14003 42009 264779 794337 2912569 5030801 8737707 15092403 17740193 53220579 55338811 166016433 195142123 337063667 585426369 1011191001 3707700337 11123101011