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13130212101000 = 2335323190292929
BaseRepresentation
bin1011111100010001110110…
…1000001100101110001000
31201111020101001112121202220
42333010131220030232020
53210111133244213000
643531534113454040
72523424616243121
oct277043550145610
951436331477686
1013130212101000
114202545477505
121580881571320
137432347931a7
14335711743048
1517b830e451a0
hexbf11da0cb88

13130212101000 has 128 divisors (see below), whose sum is σ = 42747403795200. Its totient is φ = 3349155532800.

The previous prime is 13130212100983. The next prime is 13130212101001. The reversal of 13130212101000 is 10121203131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13130212101001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95077465 + ... + 95215464.

It is an arithmetic number, because the mean of its divisors is an integer number (333964092150).

Almost surely, 213130212101000 is an apocalyptic number.

13130212101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130212101000 is an abundant number, since it is smaller than the sum of its proper divisors (29617191694200).

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

13130212101000 is a wasteful number, since it uses less digits than its factorization.

13130212101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190292976 (or 190292962 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13130212101000 its reverse (10121203131), we get a palindrome (13140333304131).

The spelling of 13130212101000 in words is "thirteen trillion, one hundred thirty billion, two hundred twelve million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 190292929 380585858 570878787 761171716 951464645 1141757574 1522343432 1902929290 2283515148 2854393935 3805858580 4376737367 4567030296 4757323225 5708787870 7611717160 8753474734 9514646450 11417575740 13130212101 14271969675 17506949468 19029292900 21883686835 22835151480 23786616125 26260424202 28543939350 35013898936 38058585800 43767373670 47573232250 52520848404 57087878700 65651060505 71359848375 87534747340 95146464500 105041696808 109418434175 114175757400 131302121010 142719696750 175069494680 190292929000 218836868350 262604242020 285439393500 328255302525 437673736700 525208484040 547092170875 570878787000 656510605050 875347473400 1094184341750 1313021210100 1641276512625 2188368683500 2626042420200 3282553025250 4376737367000 6565106050500 13130212101000