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20102320003200 = 273522093991667
BaseRepresentation
bin1001001001000011011111…
…01001001001100010000000
32122011202121020121012222220
410210201233221021202000
510113324022410100300
6110430513414531040
74143226141503051
oct444415751114200
978152536535886
1020102320003200
116450389636956
122307b6a366a80
13b2a843650326
144d6d59476728
1524cd92ae3da0
hex12486fa49880

20102320003200 has 96 divisors (see below), whose sum is σ = 66212016542160. Its totient is φ = 5360618664960.

The previous prime is 20102320003159. The next prime is 20102320003217. The reversal of 20102320003200 is 230002320102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×201023200032002 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20102320003200.

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 11 ways as a sum of consecutive naturals, for example, 1046986234 + ... + 1047005433.

Almost surely, 220102320003200 is an apocalyptic number.

20102320003200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102320003200 is an abundant number, since it is smaller than the sum of its proper divisors (46109696538960).

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

20102320003200 is a wasteful number, since it uses less digits than its factorization.

20102320003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093991694 (or 2093991677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20102320003200 its reverse (230002320102), we get a palindrome (20332322323302).

The spelling of 20102320003200 in words is "twenty trillion, one hundred two billion, three hundred twenty million, three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 2093991667 4187983334 6281975001 8375966668 10469958335 12563950002 16751933336 20939916670 25127900004 31409875005 33503866672 41879833340 50255800008 52349791675 62819750010 67007733344 83759666680 100511600016 104699583350 125639500020 134015466688 157049375025 167519333360 201023200032 209399166700 251279000040 268030933376 314098750050 335038666720 402046400064 418798333400 502558000080 628197500100 670077333440 804092800128 837596666800 1005116000160 1256395000200 1340154666880 1675193333600 2010232000320 2512790000400 3350386667200 4020464000640 5025580000800 6700773334400 10051160001600 20102320003200