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112413524000 = 255343798273
BaseRepresentation
bin110100010110001011…
…1100100000000100000
3101202011021212200212212
41220230113210000200
53320210330232000
6123350403541252
711056466121401
oct1505427440040
9352137780785
10112413524000
114374655a448
121995308a828
13a7a653c40b
1456259639a8
152dcde40c35
hex1a2c5e4020

112413524000 has 192 divisors, whose sum is σ = 286235389440. Its totient is φ = 43358515200.

The previous prime is 112413523993. The next prime is 112413524017. The reversal of 112413524000 is 425314211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13583864 + ... + 13592136.

It is an arithmetic number, because the mean of its divisors is an integer number (1490809320).

Almost surely, 2112413524000 is an apocalyptic number.

112413524000 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 112413524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143117694720).

112413524000 is an abundant number, since it is smaller than the sum of its proper divisors (173821865440).

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

112413524000 is an equidigital number, since it uses as much as digits as its factorization.

112413524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8402 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 112413524000 its reverse (425314211), we get a palindrome (112838838211).

The spelling of 112413524000 in words is "one hundred twelve billion, four hundred thirteen million, five hundred twenty-four thousand".