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11131112120 = 235953329191
BaseRepresentation
bin10100101110111011…
…10100101010111000
31001201202011002020212
422113131310222320
5140244031041440
65040310210252
7542560614632
oct122735645270
931652132225
1011131112120
1147a224a317
1221a7953988
13108514239b
1477847da52
1545233c465
hex297774ab8

11131112120 has 32 divisors (see below), whose sum is σ = 25048487520. Its totient is φ = 4451825280.

The previous prime is 11131112119. The next prime is 11131112129. The reversal of 11131112120 is 2121113111.

It is a junction number, because it is equal to n+sod(n) for n = 11131112095 and 11131112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131112129) 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 7 ways as a sum of consecutive naturals, for example, 366725 + ... + 395915.

It is an arithmetic number, because the mean of its divisors is an integer number (782765235).

Almost surely, 211131112120 is an apocalyptic number.

11131112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131112120 is an abundant number, since it is smaller than the sum of its proper divisors (13917375400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131112120 is a wasteful number, since it uses less digits than its factorization.

11131112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38735 (or 38731 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11131112120 its reverse (2121113111), we get a palindrome (13252225231).

Subtracting from 11131112120 its reverse (2121113111), we obtain a palindrome (9009999009).

The spelling of 11131112120 in words is "eleven billion, one hundred thirty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 9533 19066 29191 38132 47665 58382 76264 95330 116764 145955 190660 233528 291910 381320 583820 1167640 278277803 556555606 1113111212 1391389015 2226222424 2782778030 5565556060 11131112120