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212332213032313 = 112235316739721713
BaseRepresentation
bin110000010001110101110010…
…001000011101010101111001
31000211210202120000010210002211
4300101311302020131111321
5210312322333014013223
62031332023321455121
762503332115446613
oct6021656210352571
91024722500123084
10212332213032313
1161723649849400
121b9934a46414a1
139162ac34b791a
143a60d10a5ddb3
1519833ac6dad0d
hexc11d7221d579

212332213032313 has 96 divisors (see below), whose sum is σ = 250258495753728. Its totient is φ = 179606402426880.

The previous prime is 212332213032227. The next prime is 212332213032371. The reversal of 212332213032313 is 313230312233212.

It is not a de Polignac number, because 212332213032313 - 245 = 177147840943481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212332213032413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9779025345 + ... + 9779047057.

It is an arithmetic number, because the mean of its divisors is an integer number (2606859330768).

Almost surely, 2212332213032313 is an apocalyptic number.

212332213032313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212332213032313 is a deficient number, since it is larger than the sum of its proper divisors (37926282721415).

212332213032313 is a wasteful number, since it uses less digits than its factorization.

212332213032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22375 (or 22364 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 212332213032313 its reverse (313230312233212), we get a palindrome (525562525265525).

The spelling of 212332213032313 in words is "two hundred twelve trillion, three hundred thirty-two billion, two hundred thirteen million, thirty-two thousand, three hundred thirteen".

Divisors: 1 11 23 53 121 167 253 397 583 1219 1837 2783 3841 4367 6413 8851 9131 13409 20207 21041 21713 42251 48037 66299 97361 100441 147499 203573 231451 238843 464761 483943 499399 729289 1070971 1104851 1150789 1524877 2239303 2545961 2627273 3513847 3626071 5323373 5493389 8022179 8620061 12658679 16773647 24632333 26468147 38652317 39886781 58557103 60427279 80818481 83399633 94820671 139245469 184510117 192181763 198261403 291149617 425175487 438754591 456863233 889003291 917395963 1043027381 1439550187 2113999393 2180875433 3202645787 4420180549 5025495563 9779036201 10091355593 10507854359 15835052057 23253993323 23989629763 33109654301 48621986039 55280451193 76296159911 115586397949 174185572627 364206197311 534841846429 839257759021 1271450377439 1754811677953 4006268170421 9231835349231 19302928457483 212332213032313