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2141010030320 = 2457292235691039
BaseRepresentation
bin11111001001111110001…
…001000110111011110000
321120200022200002120211122
4133021332021012323300
5240034242031432240
64315322203201412
7310453136662130
oct37117611067360
97520280076748
102141010030320
11755aa7389727
122a6b37b16268
13126b86465b35
14758a82baac0
153aa5c7124b5
hex1f27e246ef0

2141010030320 has 320 divisors, whose sum is σ = 5927620608000. Its totient is φ = 703651995648.

The previous prime is 2141010030287. The next prime is 2141010030361. The reversal of 2141010030320 is 230300101412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2060644361 + ... + 2060645399.

It is an arithmetic number, because the mean of its divisors is an integer number (18523814400).

Almost surely, 22141010030320 is an apocalyptic number.

2141010030320 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 2141010030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963810304000).

2141010030320 is an abundant number, since it is smaller than the sum of its proper divisors (3786610577680).

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

2141010030320 is a wasteful number, since it uses less digits than its factorization.

2141010030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2141010030320 its reverse (230300101412), we get a palindrome (2371310131732).

The spelling of 2141010030320 in words is "two trillion, one hundred forty-one billion, ten million, thirty thousand, three hundred twenty".