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130112323200 = 2732524517789
BaseRepresentation
bin111100100101101001…
…1000111111010000000
3110102211202021212002100
41321023103013322000
54112432223320300
6135434530350400
712254206333146
oct1711323077200
9412752255070
10130112323200
11501a9018222
122127242b400
13c367241472
146424387596
1535b7b4e700
hex1e4b4c7e80

130112323200 has 144 divisors (see below), whose sum is σ = 464270689350. Its totient is φ = 34696611840.

The previous prime is 130112323199. The next prime is 130112323267. The reversal of 130112323200 is 2323211031.

130112323200 is a `hidden beast` number, since 1 + 30 + 112 + 323 + 200 = 666.

130112323200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 123268401216 + 6843921984 = 351096^2 + 82728^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 2230095 + ... + 2287694.

Almost surely, 2130112323200 is an apocalyptic number.

130112323200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130112323200 is an abundant number, since it is smaller than the sum of its proper divisors (334158366150).

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

130112323200 is a wasteful number, since it uses less digits than its factorization.

130112323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517819 (or 4517799 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130112323200 its reverse (2323211031), we get a palindrome (132435534231).

The spelling of 130112323200 in words is "one hundred thirty billion, one hundred twelve million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1440 1600 1800 1920 2400 2880 3200 3600 4800 5760 7200 9600 14400 28800 4517789 9035578 13553367 18071156 22588945 27106734 36142312 40660101 45177890 54213468 67766835 72284624 81320202 90355780 108426936 112944725 135533670 144569248 162640404 180711560 203300505 216853872 225889450 271067340 289138496 325280808 338834175 361423120 406601010 433707744 451778900 542134680 578276992 650561616 677668350 722846240 813202020 867415488 903557800 1016502525 1084269360 1301123232 1355336700 1445692480 1626404040 1734830976 1807115600 2033005050 2168538720 2602246464 2710673400 2891384960 3252808080 3614231200 4066010100 4337077440 5204492928 5421346800 6505616160 7228462400 8132020200 8674154880 10842693600 13011232320 14456924800 16264040400 21685387200 26022464640 32528080800 43370774400 65056161600 130112323200