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11333131311 = 317317168331
BaseRepresentation
bin10101000111000000…
…11101110000101111
31002020211021201111010
422203200131300233
5141202240200221
65112324200303
7550563012105
oct124340356057
932224251433
1011333131311
114896291327
122243539093
1310b7c55778
14797229c75
15464e44c76
hex2a381dc2f

11333131311 has 16 divisors (see below), whose sum is σ = 16515836928. Its totient is φ = 6881596800.

The previous prime is 11333131309. The next prime is 11333131331. The reversal of 11333131311 is 11313133311.

11333131311 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 11333131311 - 21 = 11333131309 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11333131331) 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 15 ways as a sum of consecutive naturals, for example, 3582585 + ... + 3585746.

It is an arithmetic number, because the mean of its divisors is an integer number (1032239808).

Almost surely, 211333131311 is an apocalyptic number.

11333131311 is a deficient number, since it is larger than the sum of its proper divisors (5182705617).

11333131311 is a wasteful number, since it uses less digits than its factorization.

11333131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168382.

The product of its digits is 243, while the sum is 21.

Adding to 11333131311 its reverse (11313133311), we get a palindrome (22646264622).

The spelling of 11333131311 in words is "eleven billion, three hundred thirty-three million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 17 31 51 93 527 1581 7168331 21504993 121861627 222218261 365584881 666654783 3777710437 11333131311