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112230321140 = 225723316797173
BaseRepresentation
bin110100010000101110…
…0101100101111110100
3101201200112011000210202
41220201130230233310
53314321430234030
6123320301140032
711052112663310
oct1504134545764
9351615130722
10112230321140
11436620aa423
121990185a618
13a7775b6762
1456094b4b40
152dbcd03745
hex1a2172cbf4

112230321140 has 384 divisors, whose sum is σ = 299215945728. Its totient is φ = 34524610560.

The previous prime is 112230321121. The next prime is 112230321221. The reversal of 112230321140 is 41123032211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 648730094 + ... + 648730266.

It is an arithmetic number, because the mean of its divisors is an integer number (779208192).

Almost surely, 2112230321140 is an apocalyptic number.

112230321140 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 112230321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149607972864).

112230321140 is an abundant number, since it is smaller than the sum of its proper divisors (186985624588).

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

112230321140 is a wasteful number, since it uses less digits than its factorization.

112230321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 112230321140 its reverse (41123032211), we get a palindrome (153353353351).

The spelling of 112230321140 in words is "one hundred twelve billion, two hundred thirty million, three hundred twenty-one thousand, one hundred forty".