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112013020440 = 233253113037703
BaseRepresentation
bin110100001010001111…
…1110000110100011000
3101201010101021000021200
41220110133300310120
53313400313123230
6123242535434200
711043533651466
oct1502437606430
9351111230250
10112013020440
1143560480172
1219860b25960
13a741582869
1455c86ab836
152da8bcd160
hex1a147f0d18

112013020440 has 192 divisors, whose sum is σ = 376122839040. Its totient is φ = 28880651520.

The previous prime is 112013020433. The next prime is 112013020543. The reversal of 112013020440 is 44020310211.

112013020440 is a `hidden beast` number, since 1 + 1 + 201 + 3 + 0 + 20 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14537629 + ... + 14545331.

It is an arithmetic number, because the mean of its divisors is an integer number (1958973120).

Almost surely, 2112013020440 is an apocalyptic number.

112013020440 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 112013020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188061419520).

112013020440 is an abundant number, since it is smaller than the sum of its proper divisors (264109818600).

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

112013020440 is a wasteful number, since it uses less digits than its factorization.

112013020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054 (or 9047 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112013020440 its reverse (44020310211), we get a palindrome (156033330651).

The spelling of 112013020440 in words is "one hundred twelve billion, thirteen million, twenty thousand, four hundred forty".