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20000120020200 = 23325219584798831
BaseRepresentation
bin1001000110000101001000…
…00011001001110011101000
32121210222210202022011102100
410203002210003021303220
510110140221211121300
6110311532302333400
74132650422125665
oct443024403116350
977728722264370
1020000120020200
116411004392a91
1222b01a788a260
13b21007116bc8
144d2022180a6c
1524a3b0692700
hex1230a40c9ce8

20000120020200 has 144 divisors (see below), whose sum is σ = 70702178788800. Its totient is φ = 5052661891200.

The previous prime is 20000120020147. The next prime is 20000120020213. The reversal of 20000120020200 is 202002100002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 292365216 + ... + 292433615.

It is an arithmetic number, because the mean of its divisors is an integer number (490987352700).

Almost surely, 220000120020200 is an apocalyptic number.

20000120020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20000120020200 is an abundant number, since it is smaller than the sum of its proper divisors (50702058768600).

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

20000120020200 is a wasteful number, since it uses less digits than its factorization.

20000120020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584798872 (or 584798860 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20000120020200 its reverse (202002100002), we get a palindrome (20202122120202).

The spelling of 20000120020200 in words is "twenty trillion, one hundred twenty million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 6840 8550 11400 17100 34200 584798831 1169597662 1754396493 2339195324 2923994155 3508792986 4678390648 5263189479 5847988310 7017585972 8771982465 10526378958 11111177789 11695976620 14035171944 14619970775 17543964930 21052757916 22222355578 23391953240 26315947395 29239941550 33333533367 35087929860 42105515832 43859912325 44444711156 52631894790 55555888945 58479883100 66667066734 70175859720 87719824650 88889422312 100000600101 105263789580 111111777890 116959766200 131579736975 133334133468 166667666835 175439649300 200001200202 210527579160 222223555780 263159473950 266668266936 277779444725 333335333670 350879298600 400002400404 444447111560 500003000505 526318947900 555558889450 666670667340 800004800808 833338334175 1000006001010 1052637895800 1111117778900 1333341334680 1666676668350 2000012002020 2222235557800 2500015002525 3333353336700 4000024004040 5000030005050 6666706673400 10000060010100 20000120020200