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112112340000 = 253545093671
BaseRepresentation
bin110100001101001101…
…0101000110000100000
3101201101022010222002220
41220122122220300200
53314101224340000
6123300444311040
711046151111053
oct1503232506040
9351338128086
10112112340000
1143601547451
121988a242480
13a75901872b
1455d7962a9a
152db279b1a0
hex1a1a6a8c20

112112340000 has 240 divisors, whose sum is σ = 368573768640. Its totient is φ = 29829760000.

The previous prime is 112112339971. The next prime is 112112340001. The reversal of 112112340000 is 43211211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (112112340001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30538165 + ... + 30541835.

It is an arithmetic number, because the mean of its divisors is an integer number (1535724036).

Almost surely, 2112112340000 is an apocalyptic number.

112112340000 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 112112340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184286884320).

112112340000 is an abundant number, since it is smaller than the sum of its proper divisors (256461428640).

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

112112340000 is an equidigital number, since it uses as much as digits as its factorization.

112112340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 112112340000 its reverse (43211211), we get a palindrome (112155551211).

The spelling of 112112340000 in words is "one hundred twelve billion, one hundred twelve million, three hundred forty thousand".