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1313302103300 = 22521117223314933
BaseRepresentation
bin10011000111000110111…
…001111100010100000100
311122112212021121022111202
4103013012321330110010
5133004120314301200
62443153405522032
7163611564455555
oct23070671742404
94575767538452
101313302103300
11466a718882a0
1219263a273318
1396ac7c52395
14477c80b432c
1524266b4e1d5
hex131c6e7c504

1313302103300 has 144 divisors (see below), whose sum is σ = 3306595364352. Its totient is φ = 447455385600.

The previous prime is 1313302103263. The next prime is 1313302103339. The reversal of 1313302103300 is 33012033131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4012634 + ... + 4327566.

It is an arithmetic number, because the mean of its divisors is an integer number (22962467808).

Almost surely, 21313302103300 is an apocalyptic number.

1313302103300 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 1313302103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653297682176).

1313302103300 is an abundant number, since it is smaller than the sum of its proper divisors (1993293261052).

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

1313302103300 is a wasteful number, since it uses less digits than its factorization.

1313302103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315198 (or 315191 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1313302103300 its reverse (33012033131), we get a palindrome (1346314136431).

The spelling of 1313302103300 in words is "one trillion, three hundred thirteen billion, three hundred two million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 223 275 340 374 425 446 550 748 850 892 935 1100 1115 1700 1870 2230 2453 3740 3791 4460 4675 4906 5575 7582 9350 9812 11150 12265 15164 18700 18955 22300 24530 37910 41701 49060 61325 75820 83402 94775 122650 166804 189550 208505 245300 314933 379100 417010 629866 834020 1042525 1259732 1574665 2085050 3149330 3464263 4170100 5353861 6298660 6928526 7873325 10707722 13857052 15746650 17321315 21415444 26769305 31493300 34642630 53538610 58892471 69285260 70230059 86606575 107077220 117784942 133846525 140460118 173213150 235569884 267693050 280920236 294462355 346426300 351150295 535386100 588924710 702300590 772530649 1177849420 1193911003 1404601180 1472311775 1545061298 1755751475 2387822006 2944623550 3090122596 3511502950 3862653245 4775644012 5889247100 5969555015 7023005900 7725306490 11939110030 13133021033 15450612980 19313266225 23878220060 26266042066 29847775075 38626532450 52532084132 59695550150 65665105165 77253064900 119391100300 131330210330 262660420660 328325525825 656651051650 1313302103300