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111313440 = 253557409
BaseRepresentation
bin1101010001010…
…00001000100000
321202110022100000
412220220020200
5211444012230
615013500000
72521101660
oct650501040
9252408300
10111313440
1157919487
1231341600
131a0a5154
1410ad81a0
159b8bb60
hex6a28220

111313440 has 288 divisors, whose sum is σ = 451301760. Its totient is φ = 25380864.

The previous prime is 111313429. The next prime is 111313493. The reversal of 111313440 is 44313111.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271956 + ... + 272364.

It is an arithmetic number, because the mean of its divisors is an integer number (1567020).

Almost surely, 2111313440 is an apocalyptic number.

111313440 is a gapful number since it is divisible by the number (10) 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 111313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225650880).

111313440 is an abundant number, since it is smaller than the sum of its proper divisors (339988320).

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

111313440 is an equidigital number, since it uses as much as digits as its factorization.

111313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 111313440 is about 10550.5184706724. The cubic root of 111313440 is about 481.0414885771.

Adding to 111313440 its reverse (44313111), we get a palindrome (155626551).

The spelling of 111313440 in words is "one hundred eleven million, three hundred thirteen thousand, four hundred forty".