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212102505216 = 2832713151197
BaseRepresentation
bin1100010110001001001…
…0110110001100000000
3202021110210021122120100
43011202102312030000
511433341220131331
6241234420442400
721216045355530
oct3054222661400
9667423248510
10212102505216
1181a52375528
1235134849400
1317002793874
14a3a15834c0
1557b5be1ae6
hex31624b6300

212102505216 has 108 divisors (see below), whose sum is σ = 698907266512. Its totient is φ = 60600711168.

The previous prime is 212102505119. The next prime is 212102505227. The reversal of 212102505216 is 612505201212.

212102505216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212102505216.

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, 6559471 + ... + 6591726.

Almost surely, 2212102505216 is an apocalyptic number.

It is an amenable number.

212102505216 is an abundant number, since it is smaller than the sum of its proper divisors (486804761296).

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

212102505216 is a wasteful number, since it uses less digits than its factorization.

212102505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13151226 (or 13151209 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 212102505216 its reverse (612505201212), we get a palindrome (824607706428).

The spelling of 212102505216 in words is "two hundred twelve billion, one hundred two million, five hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 13151197 26302394 39453591 52604788 78907182 92058379 105209576 118360773 157814364 184116758 210419152 236721546 276175137 315628728 368233516 420838304 473443092 552350274 631257456 736467032 828525411 841676608 946886184 1104700548 1262514912 1472934064 1657050822 1683353216 1893772368 2209401096 2525029824 2945868128 3314101644 3366706432 3787544736 4418802192 5050059648 5891736256 6628203288 7575089472 8837604384 10100119296 11783472512 13256406576 15150178944 17675208768 23566945024 26512813152 30300357888 35350417536 53025626304 70700835072 106051252608 212102505216