Search a number
-
+
6005111121 = 33435172361
BaseRepresentation
bin1011001011110111…
…01011100101010001
3120111111200020211000
411211323223211101
544244302023441
62431514212213
7301545413412
oct54573534521
916444606730
106005111121
112601801959
1211b7124069
137491682b9
1440d77d809
152522e72b6
hex165eeb951

6005111121 has 16 divisors (see below), whose sum is σ = 9103357120. Its totient is φ = 3910304160.

The previous prime is 6005111117. The next prime is 6005111131. The reversal of 6005111121 is 1211115006.

It is a happy number.

6005111121 is a `hidden beast` number, since 600 + 51 + 1 + 1 + 12 + 1 = 666.

It is not a de Polignac number, because 6005111121 - 22 = 6005111117 is a prime.

It is a super-2 number, since 2×60051111212 = 72122719151115753282, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6005111094 and 6005111103.

It is not an unprimeable number, because it can be changed into a prime (6005111131) 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 15 ways as a sum of consecutive naturals, for example, 2585020 + ... + 2587341.

It is an arithmetic number, because the mean of its divisors is an integer number (568959820).

Almost surely, 26005111121 is an apocalyptic number.

It is an amenable number.

6005111121 is a deficient number, since it is larger than the sum of its proper divisors (3098245999).

6005111121 is a wasteful number, since it uses less digits than its factorization.

6005111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172413 (or 5172407 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 6005111121 is about 77492.6520452101. The cubic root of 6005111121 is about 1817.6364199025.

Adding to 6005111121 its reverse (1211115006), we get a palindrome (7216226127).

The spelling of 6005111121 in words is "six billion, five million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 27 43 129 387 1161 5172361 15517083 46551249 139653747 222411523 667234569 2001703707 6005111121