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210002202002000 = 2453172363325609
BaseRepresentation
bin101111101111111011110010…
…101001110000001001010000
31000112120000101112022121021102
4233233323302221300021100
5210011134002203031000
62022345402455043532
762143105222460042
oct5757736251601120
91015500345277242
10210002202002000
1160a05485314031
121b677a006705a8
13902417969a065
1439c0237391a92
15194298c4973d5
hexbefef2a70250

210002202002000 has 120 divisors (see below), whose sum is σ = 539412093537720. Its totient is φ = 79059652300800.

The previous prime is 210002202001987. The next prime is 210002202002009. The reversal of 210002202002000 is 200202200012.

It can be written as a sum of positive squares in 12 ways, for example, as 154807644077584 + 55194557924416 = 12442172^2 + 7429304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002202002009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181084805 + ... + 182240804.

It is an arithmetic number, because the mean of its divisors is an integer number (4495100779481).

Almost surely, 2210002202002000 is an apocalyptic number.

210002202002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002202002000 is an abundant number, since it is smaller than the sum of its proper divisors (329409891535720).

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

210002202002000 is a wasteful number, since it uses less digits than its factorization.

210002202002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363325666 (or 363325633 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 210002202002000 its reverse (200202200012), we get a palindrome (210202404202012).

The spelling of 210002202002000 in words is "two hundred ten trillion, two billion, two hundred two million, two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 289 340 400 425 500 578 680 850 1000 1156 1360 1445 1700 2000 2125 2312 2890 3400 4250 4624 5780 6800 7225 8500 11560 14450 17000 23120 28900 34000 36125 57800 72250 115600 144500 289000 578000 363325609 726651218 1453302436 1816628045 2906604872 3633256090 5813209744 6176535353 7266512180 9083140225 12353070706 14533024360 18166280450 24706141412 29066048720 30882676765 36332560900 45415701125 49412282824 61765353530 72665121800 90831402250 98824565648 105001101001 123530707060 145330243600 154413383825 181662804500 210002202002 247061414120 308826767650 363325609000 420004404004 494122828240 525005505005 617653535300 726651218000 772066919125 840008808008 1050011010010 1235307070600 1544133838250 1680017616016 2100022020020 2470614141200 2625027525025 3088267676500 4200044040040 5250055050050 6176535353000 8400088080080 10500110100100 12353070706000 13125137625125 21000220200200 26250275250250 42000440400400 52500550500500 105001101001000 210002202002000