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413143321331 = 13431136540493
BaseRepresentation
bin1100000001100010100…
…00101100101011110011
31110111101200001021100202
412000301100230223303
523232104142240311
6513443451105415
741564035201046
oct6006120545363
91414350037322
10413143321331
1114a2386a8234
12680a0a4226b
132cc61611060
1415dd3998c5d
15ab3070ae3b
hex603142caf3

413143321331 has 16 divisors (see below), whose sum is σ = 459299650656. Its totient is φ = 369197692416.

The previous prime is 413143321319. The next prime is 413143321337. The reversal of 413143321331 is 133123341314.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413143321331 is a prime.

It is a super-2 number, since 2×4131433213312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413143321294 and 413143321303.

It is not an unprimeable number, because it can be changed into a prime (413143321337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3207080 + ... + 3333413.

It is an arithmetic number, because the mean of its divisors is an integer number (28706228166).

Almost surely, 2413143321331 is an apocalyptic number.

413143321331 is a deficient number, since it is larger than the sum of its proper divisors (46156329325).

413143321331 is a wasteful number, since it uses less digits than its factorization.

413143321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540662.

The product of its digits is 7776, while the sum is 29.

Adding to 413143321331 its reverse (133123341314), we get a palindrome (546266662645).

The spelling of 413143321331 in words is "four hundred thirteen billion, one hundred forty-three million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 13 43 113 559 1469 4859 63167 6540493 85026409 281241199 739075709 3656135587 9607984217 31780255487 413143321331