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112300120002132 = 2232293743167404849
BaseRepresentation
bin11001100010001011101000…
…110000101100111001010100
3112201121210020110010101210200
4121202023220300230321110
5104204411121210032012
61034501543554020500
732440262443120566
oct3142135060547124
9481553213111720
10112300120002132
11328672390a0697
1210718622b77730
134a87b1848c2ba
141da34d784d336
15ceb2b56a53dc
hex6622e8c2ce54

112300120002132 has 288 divisors, whose sum is σ = 310457635488000. Its totient is φ = 34142172696576.

The previous prime is 112300120002101. The next prime is 112300120002139. The reversal of 112300120002132 is 231200021003211.

112300120002132 is a `hidden beast` number, since 112 + 300 + 1 + 200 + 0 + 21 + 32 = 666.

It is a super-2 number, since 2×1123001200021322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112300120002139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277185244 + ... + 277590092.

It is an arithmetic number, because the mean of its divisors is an integer number (1077977901000).

Almost surely, 2112300120002132 is an apocalyptic number.

112300120002132 is a gapful number since it is divisible by the number (12) 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 112300120002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155228817744000).

112300120002132 is an abundant number, since it is smaller than the sum of its proper divisors (198157515485868).

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

112300120002132 is a wasteful number, since it uses less digits than its factorization.

112300120002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405135 (or 405130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112300120002132 its reverse (231200021003211), we get a palindrome (343500141005343).

The spelling of 112300120002132 in words is "one hundred twelve trillion, three hundred billion, one hundred twenty million, two thousand, one hundred thirty-two".