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13101130011312 = 243374332384263
BaseRepresentation
bin1011111010100101100000…
…1100110101001010110000
31201101110022021110101122000
42332221120030311022300
53204122103240330222
643510324231414000
72521345133456460
oct276513014651260
951343267411560
1013101130011312
1141a1181389042
121577105b24300
1374057b6259b5
14334153197ba0
1517abccbd49ac
hexbea583352b0

13101130011312 has 80 divisors (see below), whose sum is σ = 42977251898880. Its totient is φ = 3743180002368.

The previous prime is 13101130011287. The next prime is 13101130011349. The reversal of 13101130011312 is 21311003110131.

13101130011312 is a `hidden beast` number, since 1 + 31 + 0 + 11 + 300 + 11 + 312 = 666.

It is a super-2 number, since 2×131011300113122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2166189108 + ... + 2166195155.

It is an arithmetic number, because the mean of its divisors is an integer number (537215648736).

Almost surely, 213101130011312 is an apocalyptic number.

13101130011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13101130011312 is an abundant number, since it is smaller than the sum of its proper divisors (29876121887568).

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

13101130011312 is a wasteful number, since it uses less digits than its factorization.

13101130011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332384287 (or 4332384275 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13101130011312 its reverse (21311003110131), we get a palindrome (34412133121443).

The spelling of 13101130011312 in words is "thirteen trillion, one hundred one billion, one hundred thirty million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4332384263 8664768526 12997152789 17329537052 25994305578 30326689841 34659074104 38991458367 51988611156 60653379682 69318148208 77982916734 90980069523 103977222312 116974375101 121306759364 155965833468 181960139046 207954444624 233948750202 242613518728 272940208569 311931666936 363920278092 467897500404 485227037456 545880417138 623863333872 727840556184 818820625707 935795000808 1091760834276 1455681112368 1637641251414 1871590001616 2183521668552 3275282502828 4367043337104 6550565005656 13101130011312