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2112032300 = 2252722989167
BaseRepresentation
bin111110111100011…
…0000111000101100
312110012011100122112
41331320300320230
513311140013200
6545324103152
7103223656400
oct17570607054
95405140575
102112032300
11994207144
124ab394ab8
13278741771
141606dd100
15c5642535
hex7de30e2c

2112032300 has 216 divisors, whose sum is σ = 5610578400. Its totient is φ = 687160320.

The previous prime is 2112032297. The next prime is 2112032323. The reversal of 2112032300 is 32302112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 12646817 + ... + 12646983.

It is an arithmetic number, because the mean of its divisors is an integer number (25974900).

Almost surely, 22112032300 is an apocalyptic number.

2112032300 is a gapful number since it is divisible by the number (20) 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 2112032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805289200).

2112032300 is an abundant number, since it is smaller than the sum of its proper divisors (3498546100).

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

2112032300 is a wasteful number, since it uses less digits than its factorization.

2112032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2112032300 is about 45956.8525902286. The cubic root of 2112032300 is about 1283.0202725811.

Adding to 2112032300 its reverse (32302112), we get a palindrome (2144334412).

The spelling of 2112032300 in words is "two billion, one hundred twelve million, thirty-two thousand, three hundred".