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2130322320 = 2432571912213
BaseRepresentation
bin111111011111010…
…0010001110010000
312111110120120211200
41332332202032100
513330330303240
6551220111200
7103535304150
oct17676421620
95443516750
102130322320
119a3569765
124b5535500
1327c476769
14162d00760
15c7056930
hex7efa2390

2130322320 has 240 divisors, whose sum is σ = 8222902272. Its totient is φ = 484162560.

The previous prime is 2130322301. The next prime is 2130322349. The reversal of 2130322320 is 232230312.

It is a happy number.

2130322320 is a `hidden beast` number, since 21 + 3 + 0 + 322 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2130322293 and 2130322302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961534 + ... + 963746.

Almost surely, 22130322320 is an apocalyptic number.

2130322320 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 2130322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111451136).

2130322320 is an abundant number, since it is smaller than the sum of its proper divisors (6092579952).

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

2130322320 is a wasteful number, since it uses less digits than its factorization.

2130322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2130322320 is about 46155.4148502643. The cubic root of 2130322320 is about 1286.7132481846.

Adding to 2130322320 its reverse (232230312), we get a palindrome (2362552632).

The spelling of 2130322320 in words is "two billion, one hundred thirty million, three hundred twenty-two thousand, three hundred twenty".