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130645513350 = 2325211191389107
BaseRepresentation
bin111100110101100010…
…1000101010010000110
3110111012220120201110200
41321223011011102012
54120030222411400
6140003454431330
712303342353322
oct1715305052206
9414186521420
10130645513350
1150451a93940
12213a0b02546
13c4208475b1
1464750dc982
1535e9871b00
hex1e6b145486

130645513350 has 144 divisors (see below), whose sum is σ = 403063577280. Its totient is φ = 30004689600.

The previous prime is 130645513309. The next prime is 130645513351. The reversal of 130645513350 is 53315546031.

130645513350 is a `hidden beast` number, since 1 + 3 + 0 + 645 + 5 + 1 + 3 + 3 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130645513351) 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 71 ways as a sum of consecutive naturals, for example, 600504 + ... + 788603.

It is an arithmetic number, because the mean of its divisors is an integer number (2799052620).

Almost surely, 2130645513350 is an apocalyptic number.

130645513350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130645513350 is an abundant number, since it is smaller than the sum of its proper divisors (272418063930).

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

130645513350 is a wasteful number, since it uses less digits than its factorization.

130645513350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389155 (or 1389147 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 130645513350 in words is "one hundred thirty billion, six hundred forty-five million, five hundred thirteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 25 30 33 38 45 50 55 57 66 75 90 95 99 110 114 150 165 171 190 198 209 225 275 285 330 342 418 450 475 495 550 570 627 825 855 950 990 1045 1254 1425 1650 1710 1881 2090 2475 2850 3135 3762 4275 4950 5225 6270 8550 9405 10450 15675 18810 31350 47025 94050 1389107 2778214 4167321 6945535 8334642 12501963 13891070 15280177 20836605 25003926 26393033 30560354 34727675 41673210 45840531 52786066 62509815 69455350 76400885 79179099 91681062 104183025 125019630 131965165 137521593 152801770 158358198 208366050 229202655 237537297 263930330 275043186 290323363 312549075 382004425 395895495 458405310 475074594 580646726 625098150 659825825 687607965 764008850 791790990 870970089 1146013275 1187686485 1319651650 1375215930 1451616815 1741940178 1979477475 2292026550 2375372970 2612910267 2903233630 3438039825 3958954950 4354850445 5225820534 5938432425 6876079650 7258084075 8709700890 11876864850 13064551335 14516168150 21774252225 26129102670 43548504450 65322756675 130645513350