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13300330134300 = 223521123931684247
BaseRepresentation
bin1100000110001011100101…
…1100111111101100011100
31202002111110212122010010220
43001202321130333230130
53220403034003244200
644142030505401340
72541626402541516
oct301427134775434
952074425563126
1013300330134300
114268702692860
1215a9839799250
137562a6005c61
1433da4cd42bb6
15180e8ad084a0
hexc18b973fb1c

13300330134300 has 144 divisors (see below), whose sum is σ = 41998246440192. Its totient is φ = 3222973145600.

The previous prime is 13300330134293. The next prime is 13300330134323. The reversal of 13300330134300 is 343103300331.

It is a congruent number.

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, 7054777 + ... + 8739023.

It is an arithmetic number, because the mean of its divisors is an integer number (291654489168).

Almost surely, 213300330134300 is an apocalyptic number.

13300330134300 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 13300330134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20999123220096).

13300330134300 is an abundant number, since it is smaller than the sum of its proper divisors (28697916305892).

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

13300330134300 is a wasteful number, since it uses less digits than its factorization.

13300330134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686668 (or 1686661 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13300330134300 its reverse (343103300331), we get a palindrome (13643433434631).

The spelling of 13300330134300 in words is "thirteen trillion, three hundred billion, three hundred thirty million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2393 3300 4786 7179 9572 11965 14358 23930 26323 28716 35895 47860 52646 59825 71790 78969 105292 119650 131615 143580 157938 179475 239300 263230 315876 358950 394845 526460 658075 717900 789690 1316150 1579380 1684247 1974225 2632300 3368494 3948450 5052741 6736988 7896900 8421235 10105482 16842470 18526717 20210964 25263705 33684940 37053434 42106175 50527410 55580151 74106868 84212350 92633585 101054820 111160302 126318525 168424700 185267170 222320604 252637050 277900755 370534340 463167925 505274100 555801510 926335850 1111603020 1389503775 1852671700 2779007550 4030403071 5558015100 8060806142 12091209213 16121612284 20152015355 24182418426 40304030710 44334433781 48364836852 60456046065 80608061420 88668867562 100760076775 120912092130 133003301343 177337735124 201520153550 221672168905 241824184260 266006602686 302280230325 403040307100 443344337810 532013205372 604560460650 665016506715 886688675620 1108360844525 1209120921300 1330033013430 2216721689050 2660066026860 3325082533575 4433443378100 6650165067150 13300330134300