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130110220410 = 23541129181937
BaseRepresentation
bin111100100101100101…
…1000110100001111010
3110102211121100000121020
41321023023012201322
54112431204023120
6135434413323310
712254152424442
oct1711313064172
9412747300536
10130110220410
11501a7911385
1221271796536
13c366986301
146423d9b122
1535b7886640
hex1e4b2c687a

130110220410 has 64 divisors (see below), whose sum is σ = 320132421504. Its totient is φ = 33823180800.

The previous prime is 130110220349. The next prime is 130110220417. The reversal of 130110220410 is 14022011031.

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 130110220410.

It is not an unprimeable number, because it can be changed into a prime (130110220417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1546962 + ... + 1628898.

It is an arithmetic number, because the mean of its divisors is an integer number (5002069086).

Almost surely, 2130110220410 is an apocalyptic number.

130110220410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130110220410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160066210752).

130110220410 is an abundant number, since it is smaller than the sum of its proper divisors (190022201094).

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

130110220410 is a wasteful number, since it uses less digits than its factorization.

130110220410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83279.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 130110220410 its reverse (14022011031), we get a palindrome (144132231441).

The spelling of 130110220410 in words is "one hundred thirty billion, one hundred ten million, two hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1291 2582 3873 6455 7746 12910 19365 38730 52931 81937 105862 158793 163874 245811 264655 317586 409685 491622 529310 793965 819370 1229055 1587930 2458110 3359417 6718834 10078251 16797085 20156502 33594170 50391255 100782510 105780667 211561334 317342001 528903335 634684002 1057806670 1586710005 3173420010 4337007347 8674014694 13011022041 21685036735 26022044082 43370073470 65055110205 130110220410