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2130132300 = 2235217279311
BaseRepresentation
bin111111011110111…
…0011110101001100
312111110012221011220
41332331303311030
513330303213200
6551212043340
7103533553152
oct17675636514
95443187156
102130132300
119a3449a1a
124b5463550
1327c40b11a
14162c913d2
15c701a4a0
hex7ef73d4c

2130132300 has 216 divisors, whose sum is σ = 6651240960. Its totient is φ = 526156800.

The previous prime is 2130132299. The next prime is 2130132337. The reversal of 2130132300 is 32310312.

2130132300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2130132300.

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, 6849145 + ... + 6849455.

Almost surely, 22130132300 is an apocalyptic number.

2130132300 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 2130132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325620480).

2130132300 is an abundant number, since it is smaller than the sum of its proper divisors (4521108660).

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

2130132300 is a wasteful number, since it uses less digits than its factorization.

2130132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2130132300 is about 46153.3563243238. The cubic root of 2130132300 is about 1286.6749897296.

Adding to 2130132300 its reverse (32310312), we get a palindrome (2162442612).

The spelling of 2130132300 in words is "two billion, one hundred thirty million, one hundred thirty-two thousand, three hundred".