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12005321535311 = 1337433311753607
BaseRepresentation
bin1010111010110011010011…
…1011001110111101001111
31120111200211111111002212212
42232230310323032331033
53033143344303112221
641311100225021035
72346233026221506
oct256546473167517
946450744432785
1012005321535311
113909479035075
12141a865a8477b
13691135049450
142d70bc65b83d
1515c4451dbb5b
hexaeb34ecef4f

12005321535311 has 32 divisors (see below), whose sum is σ = 13628087413248. Its totient is φ = 10499750997120.

The previous prime is 12005321535307. The next prime is 12005321535373. The reversal of 12005321535311 is 11353512350021.

It is a cyclic number.

It is not a de Polignac number, because 12005321535311 - 22 = 12005321535307 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 (12005321535391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5969270 + ... + 7722876.

It is an arithmetic number, because the mean of its divisors is an integer number (425877731664).

Almost surely, 212005321535311 is an apocalyptic number.

12005321535311 is a deficient number, since it is larger than the sum of its proper divisors (1622765877937).

12005321535311 is a wasteful number, since it uses less digits than its factorization.

12005321535311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754031.

The product of its (nonzero) digits is 13500, while the sum is 32.

Adding to 12005321535311 its reverse (11353512350021), we get a palindrome (23358833885332).

The spelling of 12005321535311 in words is "twelve trillion, five billion, three hundred twenty-one million, five hundred thirty-five thousand, three hundred eleven".

Divisors: 1 13 37 43 331 481 559 1591 4303 12247 14233 20683 159211 185029 526621 1753607 6846073 22796891 64883459 75405101 580443917 843484967 980266313 2789988737 7545770921 21476424929 24959088431 36269853581 279193524077 324468149603 923486271947 12005321535311