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212311322312310 = 232513352015155043
BaseRepresentation
bin110000010001100010010100…
…111100101011111001110110
31000211201202122002120020201100
4300101202110330223321312
5210312002042002443220
62031314250333110530
762501662326324444
oct6021422474537166
91024652562506640
10212311322312310
11617157a9556251
121b98b434328446
139160b44415540
143a5dccc355b94
151982a88677d90
hexc11894f2be76

212311322312310 has 96 divisors (see below), whose sum is σ = 594488705717088. Its totient is φ = 52259753779200.

The previous prime is 212311322312303. The next prime is 212311322312321. The reversal of 212311322312310 is 13213223113212.

212311322312310 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 1 + 1 + 32 + 2 + 312 + 310 = 666.

212311322312310 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2123113223123102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38607649 + ... + 43762691.

It is an arithmetic number, because the mean of its divisors is an integer number (6192590684553).

Almost surely, 2212311322312310 is an apocalyptic number.

212311322312310 is an abundant number, since it is smaller than the sum of its proper divisors (382177383404778).

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

212311322312310 is a wasteful number, since it uses less digits than its factorization.

212311322312310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190270 (or 5190267 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212311322312310 its reverse (13213223113212), we get a palindrome (225524545425522).

The spelling of 212311322312310 in words is "two hundred twelve trillion, three hundred eleven billion, three hundred twenty-two million, three hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 35201 70402 105603 176005 211206 316809 352010 457613 528015 633618 915226 1056030 1372839 1584045 2288065 2745678 3168090 4118517 4576130 5155043 6864195 8237034 10310086 13728390 15465129 20592585 25775215 30930258 41185170 46395387 51550430 67015559 77325645 92790774 134031118 154651290 201046677 231976935 335077795 402093354 463953870 603140031 670155590 1005233385 1206280062 2010466770 3015700155 6031400310 181462668643 362925337286 544388005929 907313343215 1088776011858 1633164017787 1814626686430 2359014692359 2721940029645 3266328035574 4718029384718 5443880059290 7077044077077 8165820088935 11795073461795 14154088154154 16331640177870 21231132231231 23590146923590 35385220385385 42462264462462 70770440770770 106155661156155 212311322312310