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111312320 = 2657231229
BaseRepresentation
bin1101010001001…
…11110111000000
321202110020210112
412220213313000
5211443443240
615013450452
72521065500
oct650476700
9252406715
10111312320
1157918659
1231340a28
131a0a47a2
1410ad7a00
159b8b665
hex6a27dc0

111312320 has 168 divisors, whose sum is σ = 319674240. Its totient is φ = 36771840.

The previous prime is 111312307. The next prime is 111312361. The reversal of 111312320 is 23213111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 111312295 and 111312304.

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 23 ways as a sum of consecutive naturals, for example, 485966 + ... + 486194.

Almost surely, 2111312320 is an apocalyptic number.

111312320 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 111312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159837120).

111312320 is an abundant number, since it is smaller than the sum of its proper divisors (208361920).

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

111312320 is a wasteful number, since it uses less digits than its factorization.

111312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 111312320 is about 10550.4653925787. The cubic root of 111312320 is about 481.0398752102.

Adding to 111312320 its reverse (23213111), we get a palindrome (134525431).

The spelling of 111312320 in words is "one hundred eleven million, three hundred twelve thousand, three hundred twenty".