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111121331232 = 25317319112411
BaseRepresentation
bin110011101111101011…
…0001111010000100000
3101121211020101111122110
41213133112033100200
53310034030044412
6123014243435320
711012455505502
oct1473726172040
9347736344573
10111121331232
114314310493a
1219652385b40
13a62b908c02
1455420b5d72
152d55793d3c
hex19df58f420

111121331232 has 192 divisors, whose sum is σ = 319297241088. Its totient is φ = 33686016000.

The previous prime is 111121331227. The next prime is 111121331291. The reversal of 111121331232 is 232133121111.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111121331199 and 111121331208.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 46088107 + ... + 46090517.

It is an arithmetic number, because the mean of its divisors is an integer number (1663006464).

Almost surely, 2111121331232 is an apocalyptic number.

111121331232 is a gapful number since it is divisible by the number (12) 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 111121331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159648620544).

111121331232 is an abundant number, since it is smaller than the sum of its proper divisors (208175909856).

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

111121331232 is a wasteful number, since it uses less digits than its factorization.

111121331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3375 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 111121331232 its reverse (232133121111), we get a palindrome (343254452343).

The spelling of 111121331232 in words is "one hundred eleven billion, one hundred twenty-one million, three hundred thirty-one thousand, two hundred thirty-two".