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112113203202 = 23271113173111807
BaseRepresentation
bin110100001101001110…
…1111011100000000010
3101201101100202211012100
41220122131323200002
53314101440000302
6123300515011230
711046161334510
oct1503235734002
9351340684170
10112113203202
1143601a86a40
121988a599b16
13a75925b5c0
1455d7b094b0
152db28bbd1c
hex1a1a77b802

112113203202 has 384 divisors, whose sum is σ = 356502601728. Its totient is φ = 24480921600.

The previous prime is 112113203161. The next prime is 112113203207. The reversal of 112113203202 is 202302311211.

112113203202 is a `hidden beast` number, since 1 + 1 + 21 + 1 + 320 + 320 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112113203207) 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 191 ways as a sum of consecutive naturals, for example, 9489583 + ... + 9501389.

It is an arithmetic number, because the mean of its divisors is an integer number (928392192).

Almost surely, 2112113203202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112113203202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178251300864).

112113203202 is an abundant number, since it is smaller than the sum of its proper divisors (244389398526).

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

112113203202 is a wasteful number, since it uses less digits than its factorization.

112113203202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894 (or 11891 counting only the distinct ones).

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

Adding to 112113203202 its reverse (202302311211), we get a palindrome (314415514413).

The spelling of 112113203202 in words is "one hundred twelve billion, one hundred thirteen million, two hundred three thousand, two hundred two".