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13302240320000 = 295441569501
BaseRepresentation
bin1100000110010010101101…
…0011110001101000000000
31202002200101222222121022102
43001210223103301220000
53220420442010220000
644142544223325532
72542024626053162
oct301445323615000
952080358877272
1013302240320000
1142694a2965625
1215aa0914508a8
1375651b994a58
1433db908dc932
1518104d8793d5
hexc192b4f1a00

13302240320000 has 100 divisors (see below), whose sum is σ = 33212494026426. Its totient is φ = 5320896000000.

The previous prime is 13302240319937. The next prime is 13302240320027. The reversal of 13302240320000 is 2304220331.

It can be written as a sum of positive squares in 5 ways, for example, as 143222888704 + 13159017431296 = 378448^2 + 3627536^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 9 ways as a sum of consecutive naturals, for example, 20464751 + ... + 21104750.

Almost surely, 213302240320000 is an apocalyptic number.

13302240320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13302240320000 is an abundant number, since it is smaller than the sum of its proper divisors (19910253706426).

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

13302240320000 is an frugal number, since it uses more digits than its factorization.

13302240320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41569539 (or 41569508 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13302240320000 its reverse (2304220331), we get a palindrome (13304544540331).

The spelling of 13302240320000 in words is "thirteen trillion, three hundred two billion, two hundred forty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 64000 80000 160000 320000 41569501 83139002 166278004 207847505 332556008 415695010 665112016 831390020 1039237525 1330224032 1662780040 2078475050 2660448064 3325560080 4156950100 5196187625 5320896128 6651120160 8313900200 10392375250 10641792256 13302240320 16627800400 20784750500 21283584512 25980938125 26604480640 33255600800 41569501000 51961876250 53208961280 66511201600 83139002000 103923752500 106417922560 133022403200 166278004000 207847505000 266044806400 332556008000 415695010000 532089612800 665112016000 831390020000 1330224032000 1662780040000 2660448064000 3325560080000 6651120160000 13302240320000