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212411343114212 = 221121493179291521
BaseRepresentation
bin110000010010111111011110…
…101001110000111111100100
31000212002022210201100102210212
4300102333132221300333210
5210320121412314123322
62031432231322034552
762512133045162054
oct6022773651607744
91025068721312725
10212411343114212
11617541656aa100
121b9a68a9048a58
13916a3c43293a8
143a64a9a06d564
15198548e6210e2
hexc12fdea70fe4

212411343114212 has 72 divisors (see below), whose sum is σ = 412624413041400. Its totient is φ = 95600077619200.

The previous prime is 212411343114199. The next prime is 212411343114239.

212411343114212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1176977632996 + 211234365481216 = 1084886^2 + 14533904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18215012 + ... + 27506532.

It is an arithmetic number, because the mean of its divisors is an integer number (5730894625575).

Almost surely, 2212411343114212 is an apocalyptic number.

212411343114212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212411343114212 is a deficient number, since it is larger than the sum of its proper divisors (200213069927188).

212411343114212 is a wasteful number, since it uses less digits than its factorization.

212411343114212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9292013 (or 9292000 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 212411343114212 in words is "two hundred twelve trillion, four hundred eleven billion, three hundred forty-three million, one hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 121 149 242 298 317 484 596 634 1268 1639 3278 3487 6556 6974 13948 18029 36058 38357 47233 72116 76714 94466 153428 188932 519563 1039126 2078252 5715193 9291521 11430386 18583042 22860772 37166084 102206731 204413462 408826924 1124274041 1384436629 2248548082 2768873258 2945412157 4497096164 5537746516 5890824314 11781648628 15228802919 30457605838 32399533727 60915211676 64799067454 129598134908 167516832109 335033664218 356394870997 438866411393 670067328436 712789741994 877732822786 1425579483988 1755465645572 4827530525323 9655061050646 19310122101292 53102835778553 106205671557106 212411343114212