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2323332132000 = 2535311217611543
BaseRepresentation
bin100001110011110001011…
…000101110110010100000
322020002221000021222202020
4201303301120232302200
5301031141011211000
64535153554421440
7326566223165025
oct41636130566240
98202830258666
102323332132000
11816357468200
1231633b291880
1313b1211c0439
148064265954c
154067dc05ba0
hex21cf162eca0

2323332132000 has 1152 divisors, whose sum is σ = 9009242371584. Its totient is φ = 521072640000.

The previous prime is 2323332131963. The next prime is 2323332132001. The reversal of 2323332132000 is 2312333232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2323332132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1505723229 + ... + 1505724771.

It is an arithmetic number, because the mean of its divisors is an integer number (7820522892).

Almost surely, 22323332132000 is an apocalyptic number.

2323332132000 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 2323332132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504621185792).

2323332132000 is an abundant number, since it is smaller than the sum of its proper divisors (6685910239584).

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

2323332132000 is a wasteful number, since it uses less digits than its factorization.

2323332132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 2323332132000 its reverse (2312333232), we get a palindrome (2325644465232).

The spelling of 2323332132000 in words is "two trillion, three hundred twenty-three billion, three hundred thirty-two million, one hundred thirty-two thousand".