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11005378011 = 331972069069
BaseRepresentation
bin10100011111111100…
…01011110111011011
31001101222120010111000
422033332023313123
5140014334044021
65020015240043
7536503112115
oct121776136733
931358503430
1011005378011
114738281431
122171819023
13106508b4c4
147658b03b5
154462a2b26
hex28ff8bddb

11005378011 has 16 divisors (see below), whose sum is σ = 16387034400. Its totient is φ = 7299671904.

The previous prime is 11005377979. The next prime is 11005378049. The reversal of 11005378011 is 11087350011.

11005378011 is a `hidden beast` number, since 110 + 0 + 537 + 8 + 0 + 11 = 666.

It is not a de Polignac number, because 11005378011 - 25 = 11005377979 is a prime.

It is a super-2 number, since 2×110053780112 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11005378051) 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 15 ways as a sum of consecutive naturals, for example, 1029216 + ... + 1039853.

It is an arithmetic number, because the mean of its divisors is an integer number (1024189650).

Almost surely, 211005378011 is an apocalyptic number.

11005378011 is a deficient number, since it is larger than the sum of its proper divisors (5381656389).

11005378011 is a wasteful number, since it uses less digits than its factorization.

11005378011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069275 (or 2069269 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 11005378011 in words is "eleven billion, five million, three hundred seventy-eight thousand, eleven".

Divisors: 1 3 9 27 197 591 1773 5319 2069069 6207207 18621621 55864863 407606593 1222819779 3668459337 11005378011