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2130324400 = 2452172353257
BaseRepresentation
bin111111011111010…
…0010101110110000
312111110120200200201
41332332202232300
513330330340100
6551220124544
7103535313211
oct17676425660
95443520621
102130324400
119a3570286
124b5536754
1327c4776a9
14162d01408
15c705736a
hex7efa2bb0

2130324400 has 240 divisors, whose sum is σ = 5783897664. Its totient is φ = 749731840.

The previous prime is 2130324389. The next prime is 2130324401. The reversal of 2130324400 is 44230312.

It is not an unprimeable number, because it can be changed into a prime (2130324401) 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 47 ways as a sum of consecutive naturals, for example, 8289072 + ... + 8289328.

Almost surely, 22130324400 is an apocalyptic number.

2130324400 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 2130324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891948832).

2130324400 is an abundant number, since it is smaller than the sum of its proper divisors (3653573264).

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

2130324400 is a wasteful number, since it uses less digits than its factorization.

2130324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2130324400 is about 46155.4373828263. The cubic root of 2130324400 is about 1286.7136669573.

Adding to 2130324400 its reverse (44230312), we get a palindrome (2174554712).

The spelling of 2130324400 in words is "two billion, one hundred thirty million, three hundred twenty-four thousand, four hundred".