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112422506000 = 24537192631607
BaseRepresentation
bin110100010110011100…
…1110100111000010000
3101202011220210000212112
41220230321310320100
53320220130143000
6123351324244452
711056635351110
oct1505471647020
9352156700775
10112422506000
1143750634792
12199560a0728
13a7a83657cc
145626c21040
152dceb17235
hex1a2ce74e10

112422506000 has 320 divisors, whose sum is σ = 328470405120. Its totient is φ = 36354700800.

The previous prime is 112422505999. The next prime is 112422506003. The reversal of 112422506000 is 605224211.

It is a happy number.

112422506000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (112422506003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69957197 + ... + 69958803.

It is an arithmetic number, because the mean of its divisors is an integer number (1026470016).

Almost surely, 2112422506000 is an apocalyptic number.

112422506000 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 112422506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164235202560).

112422506000 is an abundant number, since it is smaller than the sum of its proper divisors (216047899120).

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

112422506000 is a wasteful number, since it uses less digits than its factorization.

112422506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1903 counting only the distinct ones).

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

The spelling of 112422506000 in words is "one hundred twelve billion, four hundred twenty-two million, five hundred six thousand".