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2130243300 = 2234521811453
BaseRepresentation
bin111111011111000…
…1110111011100100
312111110102120110000
41332332032323210
513330320241200
6551214301300
7103534524603
oct17676167344
95443376400
102130243300
119a3515359
124b54b7830
1327c4497c3
14162cbda3a
15c703d300
hex7ef8eee4

2130243300 has 180 divisors, whose sum is σ = 6948337396. Its totient is φ = 564537600.

The previous prime is 2130243299. The next prime is 2130243331. The reversal of 2130243300 is 33420312.

2130243300 is a `hidden beast` number, since 21 + 302 + 43 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 59629284 + 2070614016 = 7722^2 + 45504^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1465374 + ... + 1466826.

Almost surely, 22130243300 is an apocalyptic number.

2130243300 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 2130243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474168698).

2130243300 is an abundant number, since it is smaller than the sum of its proper divisors (4818094096).

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

2130243300 is a wasteful number, since it uses less digits than its factorization.

2130243300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1644 counting only the distinct ones).

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

The square root of 2130243300 is about 46154.5588214209. The cubic root of 2130243300 is about 1286.6973386456.

Adding to 2130243300 its reverse (33420312), we get a palindrome (2163663612).

The spelling of 2130243300 in words is "two billion, one hundred thirty million, two hundred forty-three thousand, three hundred".