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13130313202000 = 245347139684183
BaseRepresentation
bin1011111100010010001110…
…1001110111100101010000
31201111020122002210002021101
42333010203221313211100
53210111340134431000
643531552124434144
72523430254502201
oct277044351674520
951436562702241
1013130313202000
114202597550155
1215808ab3a8954
1374324c700b77
14335720d3d5a8
1517b839c65e6a
hexbf123a77950

13130313202000 has 80 divisors (see below), whose sum is σ = 32424610263552. Its totient is φ = 5140377897600.

The previous prime is 13130313201913. The next prime is 13130313202007. The reversal of 13130313202000 is 20231303131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130313202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69748092 + ... + 69936091.

Almost surely, 213130313202000 is an apocalyptic number.

13130313202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130313202000 is an abundant number, since it is smaller than the sum of its proper divisors (19294297061552).

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

13130313202000 is a wasteful number, since it uses less digits than its factorization.

13130313202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139684253 (or 139684237 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13130313202000 its reverse (20231303131), we get a palindrome (13150544505131).

The spelling of 13130313202000 in words is "thirteen trillion, one hundred thirty billion, three hundred thirteen million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 23500 47000 94000 139684183 279368366 558736732 698420915 1117473464 1396841830 2234946928 2793683660 3492104575 5587367320 6565156601 6984209150 11174734640 13130313202 13968418300 17460522875 26260626404 27936836600 32825783005 34921045750 52521252808 55873673200 65651566010 69842091500 105042505616 131303132020 139684183000 164128915025 262606264040 279368366000 328257830050 525212528080 656515660100 820644575125 1313031320200 1641289150250 2626062640400 3282578300500 6565156601000 13130313202000