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212101321231200 = 25352131674622523
BaseRepresentation
bin110000001110011110101111…
…111010001000101101100000
31000210222200120202111000002110
4300032132233322020231200
5210300032001213344300
62031034000221115320
762450546315513532
oct6016365772105540
91023880522430073
10212101321231200
1161644735401865
121b9567a73b8b40
1391470b811aabb
143a53a89d0d852
15197c3971d0550
hexc0e7afe88b60

212101321231200 has 144 divisors (see below), whose sum is σ = 695659952788416. Its totient is φ = 56128593830400.

The previous prime is 212101321231181. The next prime is 212101321231207. The reversal of 212101321231200 is 2132123101212.

212101321231200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101321231207) 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, 336996862 + ... + 337625661.

It is an arithmetic number, because the mean of its divisors is an integer number (4830971894364).

Almost surely, 2212101321231200 is an apocalyptic number.

212101321231200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101321231200 is an abundant number, since it is smaller than the sum of its proper divisors (483558631557216).

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

212101321231200 is a wasteful number, since it uses less digits than its factorization.

212101321231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674622677 (or 674622664 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 212101321231200 its reverse (2132123101212), we get a palindrome (214233444332412).

The spelling of 212101321231200 in words is "two hundred twelve trillion, one hundred one billion, three hundred twenty-one million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 131 150 160 200 240 262 300 393 400 480 524 600 655 786 800 1048 1200 1310 1572 1965 2096 2400 2620 3144 3275 3930 4192 5240 6288 6550 7860 9825 10480 12576 13100 15720 19650 20960 26200 31440 39300 52400 62880 78600 104800 157200 314400 674622523 1349245046 2023867569 2698490092 3373112615 4047735138 5396980184 6746225230 8095470276 10119337845 10793960368 13492450460 16190940552 16865563075 20238675690 21587920736 26984900920 32381881104 33731126150 40477351380 50596689225 53969801840 64763762208 67462252300 80954702760 88375550513 101193378450 107939603680 134924504600 161909405520 176751101026 202386756900 265126651539 269849009200 323818811040 353502202052 404773513800 441877752565 530253303078 539698018400 707004404104 809547027600 883755505130 1060506606156 1325633257695 1414008808208 1619094055200 1767511010260 2121013212312 2209388762825 2651266515390 2828017616416 3535022020520 4242026424624 4418777525650 5302533030780 6628166288475 7070044041040 8484052849248 8837555051300 10605066061560 13256332576950 14140088082080 17675110102600 21210132123120 26512665153900 35350220205200 42420264246240 53025330307800 70700440410400 106050660615600 212101321231200