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2130317310 = 2351137917033
BaseRepresentation
bin111111011111010…
…0000111111111110
312111110120022222010
41332332200333332
513330330123220
6551220032050
7103535253432
oct17676407776
95443508863
102130317310
119a3565a20
124b5532626
1327c4743b4
14162cdc9c2
15c70551e0
hex7efa0ffe

2130317310 has 64 divisors (see below), whose sum is σ = 5592602880. Its totient is φ = 515047680.

The previous prime is 2130317281. The next prime is 2130317333. The reversal of 2130317310 is 137130312.

It is a super-2 number, since 2×21303173102 = 9076503682571272200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116554 + ... + 133586.

It is an arithmetic number, because the mean of its divisors is an integer number (87384420).

Almost surely, 22130317310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130317310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796301440).

2130317310 is an abundant number, since it is smaller than the sum of its proper divisors (3462285570).

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

2130317310 is a wasteful number, since it uses less digits than its factorization.

2130317310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17433.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 2130317310 is about 46155.3605770771. The cubic root of 2130317310 is about 1286.7122395049.

Adding to 2130317310 its reverse (137130312), we get a palindrome (2267447622).

The spelling of 2130317310 in words is "two billion, one hundred thirty million, three hundred seventeen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 379 758 1137 1895 2274 3790 4169 5685 8338 11370 12507 17033 20845 25014 34066 41690 51099 62535 85165 102198 125070 170330 187363 255495 374726 510990 562089 936815 1124178 1873630 2810445 5620890 6455507 12911014 19366521 32277535 38733042 64555070 71010577 96832605 142021154 193665210 213031731 355052885 426063462 710105770 1065158655 2130317310