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212200240400000 = 2755530500601
BaseRepresentation
bin110000001111111010110111…
…111100110100011010000000
31000211100010220121100102122222
4300033322313330310122000
5210303142043020300000
62031151240014150212
762460650526543626
oct6017726774643200
91024303817312588
10212200240400000
1161682686725436
121b9719b31b2368
139153520a2b848
143a587915c1516
15197ec365bda85
hexc0feb7f34680

212200240400000 has 96 divisors (see below), whose sum is σ = 528394514610060. Its totient is φ = 84880096000000.

The previous prime is 212200240399949. The next prime is 212200240400081. The reversal of 212200240400000 is 4042002212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 85089407769664 + 127110832630336 = 9224392^2 + 11274344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264850301 + ... + 265650300.

Almost surely, 2212200240400000 is an apocalyptic number.

212200240400000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200240400000 is an abundant number, since it is smaller than the sum of its proper divisors (316194274210060).

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

212200240400000 is an frugal number, since it uses more digits than its factorization.

212200240400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530500640 (or 530500608 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 212200240400000 its reverse (4042002212), we get a palindrome (212204282402212).

The spelling of 212200240400000 in words is "two hundred twelve trillion, two hundred billion, two hundred forty million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 530500601 1061001202 2122002404 2652503005 4244004808 5305006010 8488009616 10610012020 13262515025 16976019232 21220024040 26525030050 33952038464 42440048080 53050060100 66312575125 67904076928 84880096160 106100120200 132625150250 169760192320 212200240400 265250300500 331562875625 339520384640 424400480800 530500601000 663125751250 848800961600 1061001202000 1326251502500 1657814378125 1697601923200 2122002404000 2652503005000 3315628756250 4244004808000 5305006010000 6631257512500 8488009616000 10610012020000 13262515025000 21220024040000 26525030050000 42440048080000 53050060100000 106100120200000 212200240400000