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2130103040 = 28513243229
BaseRepresentation
bin111111011110110…
…1100101100000000
312111110011110001012
41332331230230000
513330301244130
6551211300052
7103533401642
oct17675545400
95443143035
102130103040
119a3429a3a
124b544a628
1327c3caa00
14162c84892
15c7011995
hex7ef6cb00

2130103040 has 216 divisors, whose sum is σ = 5678109360. Its totient is φ = 764854272.

The previous prime is 2130103039. The next prime is 2130103051. The reversal of 2130103040 is 403010312.

It is a super-2 number, since 2×21301030402 = 9074677922034483200, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9301646 + ... + 9301874.

Almost surely, 22130103040 is an apocalyptic number.

2130103040 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 2130103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839054680).

2130103040 is an abundant number, since it is smaller than the sum of its proper divisors (3548006320).

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

2130103040 is a wasteful number, since it uses less digits than its factorization.

2130103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2130103040 is about 46153.0393365377. The cubic root of 2130103040 is about 1286.6690983455.

Adding to 2130103040 its reverse (403010312), we get a palindrome (2533113352).

The spelling of 2130103040 in words is "two billion, one hundred thirty million, one hundred three thousand, forty".