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20202221012000 = 255317329193961
BaseRepresentation
bin1001001011111101100100…
…01101010000010000100000
32122112022110111222021211212
410211332302031100100200
510121443122034341000
6110544434444125252
74153363604200346
oct445766215202040
978468414867755
1020202221012000
1164897940aa445
1223233aab36828
13b370a47b04a1
144dbb152c9996
1525078d2c7c35
hex125fb2350420

20202221012000 has 96 divisors (see below), whose sum is σ = 49923776985264. Its totient is φ = 8034177792000.

The previous prime is 20202221011981. The next prime is 20202221012003. The reversal of 20202221012000 is 21012220202.

It can be written as a sum of positive squares in 8 ways, for example, as 7379719966096 + 12822501045904 = 2716564^2 + 3580852^2 .

It is not an unprimeable number, because it can be changed into a prime (20202221012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13904981 + ... + 15288980.

Almost surely, 220202221012000 is an apocalyptic number.

20202221012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20202221012000 is an abundant number, since it is smaller than the sum of its proper divisors (29721555973264).

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

20202221012000 is a wasteful number, since it uses less digits than its factorization.

20202221012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29194159 (or 29194141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20202221012000 its reverse (21012220202), we get a palindrome (20223233232202).

The spelling of 20202221012000 in words is "twenty trillion, two hundred two billion, two hundred twenty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 200 250 346 400 500 692 800 865 1000 1384 1730 2000 2768 3460 4000 4325 5536 6920 8650 13840 17300 21625 27680 34600 43250 69200 86500 138400 173000 346000 692000 29193961 58387922 116775844 145969805 233551688 291939610 467103376 583879220 729849025 934206752 1167758440 1459698050 2335516880 2919396100 3649245125 4671033760 5050555253 5838792200 7298490250 10101110506 11677584400 14596980500 20202221012 23355168800 25252776265 29193961000 40404442024 50505552530 58387922000 80808884048 101011105060 116775844000 126263881325 161617768096 202022210120 252527762650 404044420240 505055525300 631319406625 808088840480 1010111050600 1262638813250 2020222101200 2525277626500 4040444202400 5050555253000 10101110506000 20202221012000