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2003112311200 = 2552711213227399
BaseRepresentation
bin11101001001100010110…
…011000011100110100000
321002111101100012122022021
4131021202303003212200
5230304333222424300
64132114520351224
7264501663466450
oct35114263034640
97074340178267
102003112311200
11702573751300
12284272315514
13116b7b2acc30
146cd45d6dd60
153718b358d1a
hex1d262cc39a0

2003112311200 has 432 divisors, whose sum is σ = 6615495331200. Its totient is φ = 576317491200.

The previous prime is 2003112311147. The next prime is 2003112311273. The reversal of 2003112311200 is 21132113002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8695101 + ... + 8922499.

It is an arithmetic number, because the mean of its divisors is an integer number (15313646600).

Almost surely, 22003112311200 is an apocalyptic number.

2003112311200 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 2003112311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307747665600).

2003112311200 is an abundant number, since it is smaller than the sum of its proper divisors (4612383020000).

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

2003112311200 is a wasteful number, since it uses less digits than its factorization.

2003112311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227461 (or 227437 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2003112311200 its reverse (21132113002), we get a palindrome (2024244424202).

The spelling of 2003112311200 in words is "two trillion, three billion, one hundred twelve million, three hundred eleven thousand, two hundred".