Search a number
-
+
11331130120011 = 32132172209912281
BaseRepresentation
bin1010010011100011101111…
…1111000101011101001011
31111010020121221101122122100
42210320323333011131023
52441122123302320021
640033241015124443
72246434652566242
oct244707377053513
944106557348570
1011331130120011
113679561607119
121330070673723
136426a07b3200
142b2602c61959
15149b36cc7626
hexa4e3bfc574b

11331130120011 has 108 divisors (see below), whose sum is σ = 18837410646600. Its totient is φ = 6559165716480.

The previous prime is 11331130120007. The next prime is 11331130120027. The reversal of 11331130120011 is 11002103113311.

11331130120011 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 301 + 20 + 0 + 11 = 666.

It is not a de Polignac number, because 11331130120011 - 22 = 11331130120007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11331130120031) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 922649191 + ... + 922661471.

It is an arithmetic number, because the mean of its divisors is an integer number (174420468950).

Almost surely, 211331130120011 is an apocalyptic number.

11331130120011 is a deficient number, since it is larger than the sum of its proper divisors (7506280526589).

11331130120011 is a wasteful number, since it uses less digits than its factorization.

11331130120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14446 (or 14413 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11331130120011 its reverse (11002103113311), we get a palindrome (22333233233322).

The spelling of 11331130120011 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, one hundred twenty thousand, eleven".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 289 507 663 867 1521 1989 2099 2601 2873 3757 6297 8619 11271 12281 18891 25857 27287 33813 35683 36843 48841 81861 107049 110529 146523 159653 208777 245583 321147 354731 439569 463879 478959 606611 626331 1064193 1391637 1436877 1819833 1878993 2075489 2714101 3192579 3549209 4174911 5459499 6030427 6226467 7885943 8142303 10647627 18091281 18679401 23657829 24426909 25777819 31942881 35283313 46139717 54273843 70973487 77333457 102517259 105849939 138419151 232000371 307551777 317549817 335111647 415257453 438222923 599816321 922655331 1005334941 1314668769 1799448963 3016004823 3944006307 4356451411 5398346889 5696897999 7449789691 13069354233 17090693997 22349369073 39208062699 51272081991 67048107219 74059673987 96847265983 222179021961 290541797949 666537065883 871625393847 1259014457779 3777043373337 11331130120011