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13331132030320 = 24513739173310009
BaseRepresentation
bin1100000111111110010101…
…1000111001110101110000
31202012102222111211120001121
43001333211120321311300
53221404124244432240
644204123145112024
72544066610411606
oct301774530716560
952172874746047
1013331132030320
11427a779542175
1215b37b5188614
13759174565c30
14341331a8b876
15181b9003104a
hexc1fe5639d70

13331132030320 has 160 divisors (see below), whose sum is σ = 33446899886400. Its totient is φ = 4912276119552.

The previous prime is 13331132030299. The next prime is 13331132030351. The reversal of 13331132030320 is 2303023113331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1331909476 + ... + 1331919484.

It is an arithmetic number, because the mean of its divisors is an integer number (209043124290).

Almost surely, 213331132030320 is an apocalyptic number.

13331132030320 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 13331132030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16723449943200).

13331132030320 is an abundant number, since it is smaller than the sum of its proper divisors (20115767856080).

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

13331132030320 is a wasteful number, since it uses less digits than its factorization.

13331132030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12507 (or 12501 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13331132030320 its reverse (2303023113331), we get a palindrome (15634155143651).

The spelling of 13331132030320 in words is "thirteen trillion, three hundred thirty-one billion, one hundred thirty-two million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 739 1040 1478 1733 2956 3466 3695 5912 6932 7390 8665 9607 10009 11824 13864 14780 17330 19214 20018 22529 27728 29560 34660 38428 40036 45058 48035 50045 59120 69320 76856 80072 90116 96070 100090 112645 130117 138640 153712 160144 180232 192140 200180 225290 260234 360464 384280 400360 450580 520468 650585 768560 800720 901160 1040936 1280687 1301170 1802320 2081872 2561374 2602340 5122748 5204680 6403435 7396651 10245496 10409360 12806870 14793302 16648931 17345597 20490992 25613740 29586604 33297862 34691194 36983255 51227480 59173208 66595724 69382388 73966510 83244655 86727985 96156463 102454960 118346416 133191448 138764776 147933020 166489310 173455970 192312926 225492761 266382896 277529552 295866040 332978620 346911940 384625852 450985522 480782315 591732080 665957240 693823880 769251704 901971044 961564630 1127463805 1331914480 1387647760 1538503408 1803942088 1923129260 2254927610 3607884176 3846258520 4509855220 7692517040 9019710440 12818396183 18039420880 25636792366 51273584732 64091980915 102547169464 128183961830 166639150379 205094338928 256367923660 333278300758 512735847320 666556601516 833195751895 1025471694640 1333113203032 1666391503790 2666226406064 3332783007580 6665566015160 13331132030320