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2002302132000 = 25353353472687
BaseRepresentation
bin11101001000110010100…
…000011101111100100000
321002102021212201021101020
4131020302200131330200
5230301203321211000
64131502255405440
7264442625206122
oct35106240357440
97072255637336
102002302132000
11702198398715
12284086b23880
13116a7c4a4a61
146ccaa515212
1537140170ba0
hex1d23281df20

2002302132000 has 192 divisors, whose sum is σ = 6578137972224. Its totient is φ = 532433510400.

The previous prime is 2002302131983. The next prime is 2002302132007. The reversal of 2002302132000 is 2312032002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2002302132007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3999657 + ... + 4472343.

It is an arithmetic number, because the mean of its divisors is an integer number (34261135272).

Almost surely, 22002302132000 is an apocalyptic number.

2002302132000 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 2002302132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289068986112).

2002302132000 is an abundant number, since it is smaller than the sum of its proper divisors (4575835840224).

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

2002302132000 is a wasteful number, since it uses less digits than its factorization.

2002302132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473068 (or 473050 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2002302132000 its reverse (2312032002), we get a palindrome (2004614164002).

The spelling of 2002302132000 in words is "two trillion, two billion, three hundred two million, one hundred thirty-two thousand".