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112603623000 = 23353115875813
BaseRepresentation
bin110100011011110110…
…0101110111001011000
3101202122112120201200120
41220313230232321120
53321103011414000
6123421314233240
711064265001031
oct1506754567130
9352575521616
10112603623000
114383389a660
12199a6885820
13a806a3ac2b
145642cc9a88
152de09916a0
hex1a37b2ee58

112603623000 has 256 divisors, whose sum is σ = 383980746240. Its totient is φ = 27246656000.

The previous prime is 112603622981. The next prime is 112603623017. The reversal of 112603623000 is 326306211.

It is a happy number.

It is a super-2 number, since 2×1126036230002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19368094 + ... + 19373906.

It is an arithmetic number, because the mean of its divisors is an integer number (1499924790).

Almost surely, 2112603623000 is an apocalyptic number.

112603623000 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 112603623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191990373120).

112603623000 is an abundant number, since it is smaller than the sum of its proper divisors (271377123240).

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

112603623000 is a wasteful number, since it uses less digits than its factorization.

112603623000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 112603623000 its reverse (326306211), we get a palindrome (112929929211).

The spelling of 112603623000 in words is "one hundred twelve billion, six hundred three million, six hundred twenty-three thousand".