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11110431024 = 24327112711283
BaseRepresentation
bin10100101100011101…
…11011100100110000
31001200022020101010100
422112032323210300
5140223232243044
65034251032400
7542220051120
oct122616734460
931608211110
1011110431024
114791604300
1221a0a3b700
131080a80c54
14775818c80
15450604869
hex2963bb930

11110431024 has 360 divisors, whose sum is σ = 39640962816. Its totient is φ = 2842963200.

The previous prime is 11110431023. The next prime is 11110431041. The reversal of 11110431024 is 42013401111.

11110431024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11110430988 and 11110431006.

It is not an unprimeable number, because it can be changed into a prime (11110431023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8659087 + ... + 8660369.

Almost surely, 211110431024 is an apocalyptic number.

11110431024 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 11110431024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820481408).

11110431024 is an abundant number, since it is smaller than the sum of its proper divisors (28530531792).

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

11110431024 is a wasteful number, since it uses less digits than its factorization.

11110431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11110431024 its reverse (42013401111), we get a palindrome (53123832135).

The spelling of 11110431024 in words is "eleven billion, one hundred ten million, four hundred thirty-one thousand, twenty-four".