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111304144 = 2477113997
BaseRepresentation
bin1101010001001…
…01110111010000
321202102211120201
412220211313100
5211443213034
615013344544
72521032610
oct650456720
9252384521
10111304144
11579124a6
1231338154
131a0a0b53
1410ad4a40
159b89014
hex6a25dd0

111304144 has 40 divisors (see below), whose sum is σ = 249948288. Its totient is φ = 47026560.

The previous prime is 111304139. The next prime is 111304157. The reversal of 111304144 is 441403111.

It is a super-2 number, since 2×1113041442 = 24777224943145472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 954 + ... + 14950.

Almost surely, 2111304144 is an apocalyptic number.

111304144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124974144).

111304144 is an abundant number, since it is smaller than the sum of its proper divisors (138644144).

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

111304144 is a wasteful number, since it uses less digits than its factorization.

111304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14083 (or 14077 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 111304144 is about 10550.0779144042. The cubic root of 111304144 is about 481.0280973036.

Adding to 111304144 its reverse (441403111), we get a palindrome (552707255).

The spelling of 111304144 in words is "one hundred eleven million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3976 7952 13997 27994 55988 97979 111976 195958 223952 391916 783832 993787 1567664 1987574 3975148 6956509 7950296 13913018 15900592 27826036 55652072 111304144