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130130410340 = 225721719939251
BaseRepresentation
bin111100100110001100…
…0000111101101100100
3110102220000022202222102
41321030120013231210
54113001341112330
6135440414151232
712254516144300
oct1711430075544
9412800282872
10130130410340
1150208251377
12212784b2518
13c36ac05008
146426934d00
1535b9523945
hex1e4c607b64

130130410340 has 144 divisors (see below), whose sum is σ = 338289436800. Its totient is φ = 41779584000.

The previous prime is 130130410309. The next prime is 130130410379. The reversal of 130130410340 is 43014031031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3295715 + ... + 3334965.

It is an arithmetic number, because the mean of its divisors is an integer number (2349232200).

Almost surely, 2130130410340 is an apocalyptic number.

130130410340 is a gapful number since it is divisible by the number (10) 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 130130410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169144718400).

130130410340 is an abundant number, since it is smaller than the sum of its proper divisors (208159026460).

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

130130410340 is a wasteful number, since it uses less digits than its factorization.

130130410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39490 (or 39481 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130130410340 its reverse (43014031031), we get a palindrome (173144441371).

The spelling of 130130410340 in words is "one hundred thirty billion, one hundred thirty million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 199 238 245 340 398 476 490 595 796 833 980 995 1190 1393 1666 1990 2380 2786 3332 3383 3980 4165 5572 6766 6965 8330 9751 13532 13930 16660 16915 19502 23681 27860 33830 39004 39251 47362 48755 67660 78502 94724 97510 118405 157004 165767 195020 196255 236810 274757 331534 392510 473620 549514 663068 667267 785020 828835 1099028 1334534 1373785 1657670 1923299 2669068 2747570 3315340 3336335 3846598 4670869 5495140 6672670 7693196 7810949 9341738 9616495 13345340 15621898 18683476 19232990 23354345 31243796 32696083 38465980 39054745 46708690 54676643 65392166 78109490 93417380 109353286 130784332 132786133 156218980 163480415 218706572 265572266 273383215 326960830 382736501 531144532 546766430 653921660 663930665 765473002 929502931 1093532860 1327861330 1530946004 1859005862 1913682505 2655722660 3718011724 3827365010 4647514655 6506520517 7654730020 9295029310 13013041034 18590058620 26026082068 32532602585 65065205170 130130410340