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2133242423312 = 2471121310121187
BaseRepresentation
bin11111000010101111001…
…010000010100000010000
321112221021022222021012012
4133002233022002200100
5234422340030021222
64311555324322052
7310056510262430
oct37025712024020
97487238867165
102133242423312
11752780809600
122a552a6a3328
1312621910c280
147536c8282c0
153a75581e1e2
hex1f0af282810

2133242423312 has 360 divisors, whose sum is σ = 5652121616064. Its totient is φ = 758964096000.

The previous prime is 2133242423281. The next prime is 2133242423321.

2133242423312 is nontrivially palindromic in base 10.

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, 1797170783 + ... + 1797171969.

Almost surely, 22133242423312 is an apocalyptic number.

2133242423312 is a gapful number since it is divisible by the number (22) 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 2133242423312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826060808032).

2133242423312 is an abundant number, since it is smaller than the sum of its proper divisors (3518879192752).

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

2133242423312 is a wasteful number, since it uses less digits than its factorization.

2133242423312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1321 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

The spelling of 2133242423312 in words is "two trillion, one hundred thirty-three billion, two hundred forty-two million, four hundred twenty-three thousand, three hundred twelve".