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2003201032000 = 26537151236897
BaseRepresentation
bin11101001001101000000…
…101011111111101000000
321002111121112011010100211
4131021220011133331000
5230310023431011000
64132131410123504
7264504121553620
oct35115005377500
97074545133324
102003201032000
11702609839583
12284297b80594
13116b937a484c
146cd53a66880
15371940317ba
hex1d26815ff40

2003201032000 has 224 divisors, whose sum is σ = 5707202582016. Its totient is φ = 682260480000.

The previous prime is 2003201031977. The next prime is 2003201032043. The reversal of 2003201032000 is 2301023002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8337552 + ... + 8574448.

Almost surely, 22003201032000 is an apocalyptic number.

2003201032000 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 2003201032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853601291008).

2003201032000 is an abundant number, since it is smaller than the sum of its proper divisors (3704001550016).

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

2003201032000 is a wasteful number, since it uses less digits than its factorization.

2003201032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237082 (or 237062 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 2003201032000 its reverse (2301023002), we get a palindrome (2005502055002).

The spelling of 2003201032000 in words is "two trillion, three billion, two hundred one million, thirty-two thousand".