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112134061236060 = 22325171011517093389
BaseRepresentation
bin11001011111110000111110…
…111000110001111101011100
3112201000220121112021001020100
4121133300332320301331130
5104144201024134023220
61034253402050221100
732422263366651423
oct3137607670617534
9481026545231210
10112134061236060
1132802874269946
12106b03ba284790
134a75272c1c4c6
141d994633d02ba
15ce6ce6d72d90
hex65fc3ee31f5c

112134061236060 has 576 divisors, whose sum is σ = 366747324652800. Its totient is φ = 27633070080000.

The previous prime is 112134061236023. The next prime is 112134061236083. The reversal of 112134061236060 is 60632160431211.

112134061236060 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 4 + 0 + 612 + 36 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33087652846 + ... + 33087656234.

It is an arithmetic number, because the mean of its divisors is an integer number (636714105300).

Almost surely, 2112134061236060 is an apocalyptic number.

112134061236060 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 112134061236060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183373662326400).

112134061236060 is an abundant number, since it is smaller than the sum of its proper divisors (254613263416740).

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

112134061236060 is a wasteful number, since it uses less digits than its factorization.

112134061236060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 112134061236060 in words is "one hundred twelve trillion, one hundred thirty-four billion, sixty-one million, two hundred thirty-six thousand, sixty".