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111424400 = 2452278561
BaseRepresentation
bin1101010010000…
…11001110010000
321202122221112122
412221003032100
5212011040100
615020113412
72522043323
oct651031620
9252587478
10111424400
115799488a
1231395868
131a1137c9
1410b267ba
159bae985
hex6a43390

111424400 has 30 divisors (see below), whose sum is σ = 267698082. Its totient is φ = 44569600.

The previous prime is 111424393. The next prime is 111424433. The reversal of 111424400 is 4424111.

It can be written as a sum of positive squares in 3 ways, for example, as 10863616 + 100560784 = 3296^2 + 10028^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138881 + ... + 139680.

Almost surely, 2111424400 is an apocalyptic number.

111424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111424400 is an abundant number, since it is smaller than the sum of its proper divisors (156273682).

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

111424400 is a wasteful number, since it uses less digits than its factorization.

111424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278579 (or 278568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 111424400 is about 10555.7756702196. The cubic root of 111424400 is about 481.2012735284.

Adding to 111424400 its reverse (4424111), we get a palindrome (115848511).

The spelling of 111424400 in words is "one hundred eleven million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 278561 557122 1114244 1392805 2228488 2785610 4456976 5571220 6964025 11142440 13928050 22284880 27856100 55712200 111424400