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13320221303300 = 225247163148911677
BaseRepresentation
bin1100000111010101101100…
…0011110010001000000100
31202011101211010101012022212
43001311123003302020010
53221214303123201200
644155120350242552
72543232333643052
oct301653303621004
952141733335285
1013320221303300
11427608a7394aa
1215b166b1b6458
13758125c97642
143409b89b91d2
15181752228035
hexc1d5b0f2204

13320221303300 has 144 divisors (see below), whose sum is σ = 29723473409280. Its totient is φ = 5178808535040.

The previous prime is 13320221303293. The next prime is 13320221303329. The reversal of 13320221303300 is 330312202331.

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, 1140717062 + ... + 1140728738.

Almost surely, 213320221303300 is an apocalyptic number.

13320221303300 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 13320221303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14861736704640).

13320221303300 is an abundant number, since it is smaller than the sum of its proper divisors (16403252105980).

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

13320221303300 is a wasteful number, since it uses less digits than its factorization.

13320221303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13390 (or 13383 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 13320221303300 its reverse (330312202331), we get a palindrome (13650533505631).

The spelling of 13320221303300 in words is "thirteen trillion, three hundred twenty billion, two hundred twenty-one million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 163 188 235 326 470 652 815 940 1175 1489 1630 2350 2978 3260 4075 4700 5956 7445 7661 8150 11677 14890 15322 16300 23354 29780 30644 37225 38305 46708 58385 69983 74450 76610 116770 139966 148900 153220 191525 233540 242707 279932 291925 349915 383050 485414 548819 583850 699830 766100 970828 1097638 1167700 1213535 1399660 1749575 1903351 2195276 2427070 2744095 3499150 3806702 4854140 5488190 6067675 6998300 7613404 9516755 10976380 11407229 12135350 13720475 17387053 19033510 22814458 24270700 27440950 34774106 38067020 45628916 47583775 54881900 57036145 69548212 86935265 89457497 95167550 114072290 173870530 178914994 190335100 228144580 285180725 347741060 357829988 434676325 447287485 570361450 817191491 869352650 894574970 1140722900 1634382982 1738705300 1789149940 2236437425 2834089639 3268765964 4085957455 4472874850 5668179278 8171914910 8945749700 11336358556 14170448195 16343829820 20429787275 28340896390 40859574550 56681792780 70852240975 81719149100 133202213033 141704481950 266404426066 283408963900 532808852132 666011065165 1332022130330 2664044260660 3330055325825 6660110651650 13320221303300