Search a number
-
+
130897585575 = 34521725115149
BaseRepresentation
bin111100111101000011…
…0101010010110100111
3110111212110220022120000
41321322012222112213
54121034240214300
6140044501312343
712312523055631
oct1717206522647
9414773808500
10130897585575
1150571302499
12214514056b3
13c460b34263
14649a797a51
153611a64c00
hex1e7a1aa5a7

130897585575 has 120 divisors (see below), whose sum is σ = 257770220400. Its totient is φ = 65439360000.

The previous prime is 130897585561. The next prime is 130897585597. The reversal of 130897585575 is 575585798031.

130897585575 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 9 + 7 + 58 + 5 + 575 = 666.

It is not a de Polignac number, because 130897585575 - 217 = 130897454503 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8633101 + ... + 8648249.

It is an arithmetic number, because the mean of its divisors is an integer number (2148085170).

Almost surely, 2130897585575 is an apocalyptic number.

130897585575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130897585575 is a deficient number, since it is larger than the sum of its proper divisors (126872634825).

130897585575 is a wasteful number, since it uses less digits than its factorization.

130897585575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15439 (or 15425 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 63.

The spelling of 130897585575 in words is "one hundred thirty billion, eight hundred ninety-seven million, five hundred eighty-five thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 251 255 405 425 459 675 753 765 1255 1275 1377 2025 2259 2295 3765 3825 4267 6275 6777 6885 11295 11475 12801 15149 18825 20331 21335 33885 34425 38403 45447 56475 64005 75745 101655 106675 115209 136341 169425 192015 227235 257533 320025 345627 378725 409023 508275 576045 681705 772599 960075 1136175 1227069 1287665 1728135 2045115 2317797 2880225 3408525 3802399 3862995 6135345 6438325 6953391 8640675 10225575 11407197 11588985 19011995 19314975 20860173 30676725 34221591 34766955 57035985 57944925 64640783 95059975 102664773 104300865 171107955 173834775 193922349 285179925 307994319 323203915 513323865 521504325 581767047 855539775 969611745 1539971595 1616019575 1745301141 2566619325 2908835235 4848058725 5235903423 7699857975 8726505705 14544176175 26179517115 43632528525 130897585575