Search a number
-
+
111211331112 = 23327220657403
BaseRepresentation
bin110011110010010110…
…1100011111000101000
3101122001111201222021100
41213210231203320220
53310230100043422
6123031220441400
711014630501020
oct1474455437050
9348044658240
10111211331112
1143189996102
1219678549260
13a64445aa8b
145550022a80
152d5d6207ac
hex19e4b63e28

111211331112 has 48 divisors (see below), whose sum is σ = 344225550240. Its totient is φ = 31774665888.

The previous prime is 111211331111. The next prime is 111211331137. The reversal of 111211331112 is 211133112111.

111211331112 is a `hidden beast` number, since 1 + 11 + 211 + 331 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (111211331111) 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 11 ways as a sum of consecutive naturals, for example, 110328198 + ... + 110329205.

It is an arithmetic number, because the mean of its divisors is an integer number (7171365630).

Almost surely, 2111211331112 is an apocalyptic number.

111211331112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111211331112 is an abundant number, since it is smaller than the sum of its proper divisors (233014219128).

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

111211331112 is a wasteful number, since it uses less digits than its factorization.

111211331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220657422 (or 220657415 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 111211331112 its reverse (211133112111), we get a palindrome (322344443223).

The spelling of 111211331112 in words is "one hundred eleven billion, two hundred eleven million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 220657403 441314806 661972209 882629612 1323944418 1544601821 1765259224 1985916627 2647888836 3089203642 3971833254 4633805463 5295777672 6178407284 7943666508 9267610926 12356814568 13901416389 15887333016 18535221852 27802832778 37070443704 55605665556 111211331112