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11331130331001 = 31319472391361317
BaseRepresentation
bin1010010011100011101111…
…1111111000111101111001
31111010020121221210101001210
42210320323333320331321
52441122123331043001
640033241023433333
72246434654435335
oct244707377707571
944106557711053
1011331130331001
113679561740698
121330070755849
136426a0858260
142b2602cb87c5
15149b36d19dd6
hexa4e3bff8f79

11331130331001 has 64 divisors (see below), whose sum is σ = 17564269363200. Its totient is φ = 6438393029376.

The previous prime is 11331130330999. The next prime is 11331130331057. The reversal of 11331130331001 is 10013303113311.

It is not a de Polignac number, because 11331130331001 - 21 = 11331130330999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11331130331701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7642995 + ... + 9004311.

It is an arithmetic number, because the mean of its divisors is an integer number (274441708800).

Almost surely, 211331130331001 is an apocalyptic number.

It is an amenable number.

11331130331001 is a deficient number, since it is larger than the sum of its proper divisors (6233139032199).

11331130331001 is a wasteful number, since it uses less digits than its factorization.

11331130331001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361638.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 11331130331001 its reverse (10013303113311), we get a palindrome (21344433444312).

The spelling of 11331130331001 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, three hundred thirty-one thousand, one".

Divisors: 1 3 13 19 39 47 57 141 239 247 611 717 741 893 1833 2679 3107 4541 9321 11233 11609 13623 33699 34827 59033 146029 177099 213427 438087 640281 1361317 2774551 4083951 8323653 17697121 25865023 53091363 63981899 77595069 191945697 325354763 336245299 831764687 976064289 1008735897 1215656081 2495294061 3646968243 4229611919 6181740497 12688835757 15291673861 15803529053 18545221491 45875021583 47410587159 80362626461 198791760193 241087879383 290541803359 596375280579 871625410077 3777043443667 11331130331001