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13313220201300 = 22352791573577957
BaseRepresentation
bin1100000110111011100111…
…0000101100101101010100
31202010201202012120100212210
43001232321300230231110
53221110433332420200
644152001532313420
72542564002364005
oct301567160545524
952121665510783
1013313220201300
114273117801998
1215b0236612870
1375757b696c36
14340512c531ac
15181492792650
hexc1bb9c2cb54

13313220201300 has 144 divisors (see below), whose sum is σ = 39255637756160. Its totient is φ = 3482925488640.

The previous prime is 13313220201263. The next prime is 13313220201313. The reversal of 13313220201300 is 310202231331.

13313220201300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1931922 + ... + 5509878.

Almost surely, 213313220201300 is an apocalyptic number.

13313220201300 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 13313220201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19627818878080).

13313220201300 is an abundant number, since it is smaller than the sum of its proper divisors (25942417554860).

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

13313220201300 is a wasteful number, since it uses less digits than its factorization.

13313220201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578210 (or 3578203 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13313220201300 its reverse (310202231331), we get a palindrome (13623422432631).

The spelling of 13313220201300 in words is "thirteen trillion, three hundred thirteen billion, two hundred twenty million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 157 158 237 300 314 316 395 471 474 628 785 790 942 948 1185 1570 1580 1884 1975 2355 2370 3140 3925 3950 4710 4740 5925 7850 7900 9420 11775 11850 12403 15700 23550 23700 24806 37209 47100 49612 62015 74418 124030 148836 186045 248060 310075 372090 620150 744180 930225 1240300 1860450 3577957 3720900 7155914 10733871 14311828 17889785 21467742 35779570 42935484 53669355 71559140 89448925 107338710 178897850 214677420 268346775 282658603 357795700 536693550 561739249 565317206 847975809 1073387100 1123478498 1130634412 1413293015 1685217747 1695951618 2246956996 2808696245 2826586030 3370435494 3391903236 4239879045 5617392490 5653172060 6740870988 7066465075 8426088735 8479758090 11234784980 14043481225 14132930150 16852177470 16959516180 21199395225 28086962450 28265860300 33704354940 42130443675 42398790450 44377400671 56173924900 84260887350 84797580900 88754801342 133132202013 168521774700 177509602684 221887003355 266264404026 443774006710 532528808052 665661010065 887548013420 1109435016775 1331322020130 2218870033550 2662644040260 3328305050325 4437740067100 6656610100650 13313220201300