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2130330140 = 2252919319031
BaseRepresentation
bin111111011111010…
…0100001000011100
312111110120222120022
41332332210020130
513330331031030
6551220211312
7103535336021
oct17676441034
95443528508
102130330140
119a3574624
124b5539b38
1327c47a1a3
14162d03548
15c7058de5
hex7efa421c

2130330140 has 48 divisors (see below), whose sum is σ = 4652182080. Its totient is φ = 818442240.

The previous prime is 2130330101. The next prime is 2130330143. The reversal of 2130330140 is 410330312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130330143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 102425 + ... + 121455.

It is an arithmetic number, because the mean of its divisors is an integer number (96920460).

Almost surely, 22130330140 is an apocalyptic number.

2130330140 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 2130330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326091040).

2130330140 is an abundant number, since it is smaller than the sum of its proper divisors (2521851940).

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

2130330140 is a wasteful number, since it uses less digits than its factorization.

2130330140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19262 (or 19260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2130330140 is about 46155.4995639740. The cubic root of 2130330140 is about 1286.7148226076.

Adding to 2130330140 its reverse (410330312), we get a palindrome (2540660452).

The spelling of 2130330140 in words is "two billion, one hundred thirty million, three hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 193 290 386 580 772 965 1930 3860 5597 11194 19031 22388 27985 38062 55970 76124 95155 111940 190310 380620 551899 1103798 2207596 2759495 3672983 5518990 7345966 11037980 14691932 18364915 36729830 73459660 106516507 213033014 426066028 532582535 1065165070 2130330140