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212240242042213 = 71123537093189239
BaseRepresentation
bin110000010000100000001000…
…001110111110010101100101
31000211110222011101111101212011
4300100200020032332111211
5210304321003430322323
62031221453212154221
762463565024104340
oct6020401016762545
91024428141441764
10212240242042213
11616986435a5280
121b9796b7768971
139157227237718
143a5a6a8099457
151980cc82cc20d
hexc108083be565

212240242042213 has 64 divisors (see below), whose sum is σ = 281722663526400. Its totient is φ = 154987781794560.

The previous prime is 212240242042181. The next prime is 212240242042219. The reversal of 212240242042213 is 312240242042212.

It is not a de Polignac number, because 212240242042213 - 25 = 212240242042181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212240242042219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64954248 + ... + 68143486.

It is an arithmetic number, because the mean of its divisors is an integer number (4401916617600).

Almost surely, 2212240242042213 is an apocalyptic number.

212240242042213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212240242042213 is a deficient number, since it is larger than the sum of its proper divisors (69482421484187).

212240242042213 is a wasteful number, since it uses less digits than its factorization.

212240242042213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190042.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 212240242042213 its reverse (312240242042212), we get a palindrome (524480484084425).

Subtracting 212240242042213 from its reverse (312240242042212), we obtain a palindrome (99999999999999).

The spelling of 212240242042213 in words is "two hundred twelve trillion, two hundred forty billion, two hundred forty-two million, forty-two thousand, two hundred thirteen".

Divisors: 1 7 11 23 53 77 161 253 371 583 709 1219 1771 4081 4963 7799 8533 13409 16307 37577 54593 93863 114149 179377 263039 413347 864271 1255639 2893429 3189239 6049897 9506981 22324673 35081629 66548867 73352497 169029667 245571403 513467479 806877467 1183207669 1859326337 2261170451 3887682341 5648142269 13015284359 15828193157 24872874961 27213776387 42764505751 52006920373 119842033903 174110124727 299351540257 364048442611 572076124103 838894237321 1318262372933 2756366779769 4004532868721 9227836610531 19294567458383 30320034577459 212240242042213