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112071008280 = 2335711219131443
BaseRepresentation
bin110100001011111110…
…0111110000000011000
3101201021102101002122110
41220113330332000120
53314010134231110
6123252410352320
711045136565320
oct1502774760030
9351242332573
10112071008280
1143590187300
121987842b6a0
13a7505a69aa
1455d2284280
152dadd34a20
hex1a17f3e018

112071008280 has 768 divisors, whose sum is σ = 448984166400. Its totient is φ = 21843993600.

The previous prime is 112071008201. The next prime is 112071008281. The reversal of 112071008280 is 82800170211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112071008281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 252981739 + ... + 252982181.

It is an arithmetic number, because the mean of its divisors is an integer number (584614800).

Almost surely, 2112071008280 is an apocalyptic number.

112071008280 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 112071008280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224492083200).

112071008280 is an abundant number, since it is smaller than the sum of its proper divisors (336913158120).

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

112071008280 is a wasteful number, since it uses less digits than its factorization.

112071008280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

Adding to 112071008280 its reverse (82800170211), we get a palindrome (194871178491).

The spelling of 112071008280 in words is "one hundred twelve billion, seventy-one million, eight thousand, two hundred eighty".