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13130102201000 = 2353171279160383
BaseRepresentation
bin1011111100010001011100…
…0100111101101010101000
31201111020002101202010022112
42333010113010331222220
53210110422130413000
643531515150141452
72523422113146011
oct277042704755250
951436071663275
1013130102201000
114202499433a64
1215808507b1888
13743217a944c5
14335700cd6008
1517b826487235
hexbf11713daa8

13130102201000 has 128 divisors (see below), whose sum is σ = 32534841231360. Its totient is φ = 4942628992000.

The previous prime is 13130102200967. The next prime is 13130102201023. The reversal of 13130102201000 is 10220103131.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 217416809 + ... + 217477191.

It is an arithmetic number, because the mean of its divisors is an integer number (254178447120).

Almost surely, 213130102201000 is an apocalyptic number.

13130102201000 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 13130102201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16267420615680).

13130102201000 is an abundant number, since it is smaller than the sum of its proper divisors (19404739030360).

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

13130102201000 is a wasteful number, since it uses less digits than its factorization.

13130102201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73212 (or 73198 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13130102201000 its reverse (10220103131), we get a palindrome (13140322304131).

The spelling of 13130102201000 in words is "thirteen trillion, one hundred thirty billion, one hundred two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 12791 17000 25582 51164 60383 63955 102328 120766 127910 217447 241532 255820 301915 319775 434894 483064 511640 603830 639550 869788 1026511 1087235 1207660 1279100 1509575 1598875 1739576 2053022 2174470 2415320 2558200 3019150 3197750 4106044 4348940 5132555 5436175 6038300 6395500 7547875 8212088 8697880 10265110 10872350 12076600 12791000 15095750 20530220 21744700 25662775 27180875 30191500 41060440 43489400 51325550 54361750 60383000 102651100 108723500 128313875 205302200 217447000 256627750 513255500 772358953 1026511000 1544717906 3089435812 3861794765 6178871624 7723589530 13130102201 15447179060 19308973825 26260204402 30894358120 38617947650 52520408804 65650511005 77235895300 96544869125 105040817608 131301022010 154471790600 193089738250 262602044020 328252555025 386179476500 525204088040 656505110050 772358953000 1313010220100 1641262775125 2626020440200 3282525550250 6565051100500 13130102201000