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212431121320240 = 2454756497638649
BaseRepresentation
bin110000010011010001111001…
…100001101000100100110000
31000212011012212002112101221001
4300103101321201220210300
5210320432414024221430
62031445302045411344
762513433135151234
oct6023217141504460
91025135762471831
10212431121320240
1161761594a10019
121b9aa6a8869b54
13916c226a88b94
143a65a14adc5c4
151985c4ab7a3ca
hexc13479868930

212431121320240 has 40 divisors (see below), whose sum is σ = 504410917867200. Its totient is φ = 83164524089856.

The previous prime is 212431121320237. The next prime is 212431121320241. The reversal of 212431121320240 is 42023121134212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 212431121320199 and 212431121320208.

It is not an unprimeable number, because it can be changed into a prime (212431121320241) 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 7 ways as a sum of consecutive naturals, for example, 28248815565 + ... + 28248823084.

It is an arithmetic number, because the mean of its divisors is an integer number (12610272946680).

Almost surely, 2212431121320240 is an apocalyptic number.

212431121320240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212431121320240 is an abundant number, since it is smaller than the sum of its proper divisors (291979796546960).

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

212431121320240 is a wasteful number, since it uses less digits than its factorization.

212431121320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56497638709 (or 56497638703 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 212431121320240 its reverse (42023121134212), we get a palindrome (254454242454452).

The spelling of 212431121320240 in words is "two hundred twelve trillion, four hundred thirty-one billion, one hundred twenty-one million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 56497638649 112995277298 225990554596 282488193245 451981109192 564976386490 903962218384 1129952772980 2259905545960 2655389016503 4519811091920 5310778033006 10621556066012 13276945082515 21243112132024 26553890165030 42486224264048 53107780330060 106215560660120 212431121320240