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11131205330205 = 3256113130954839
BaseRepresentation
bin1010000111111010111110…
…0010100010010100011101
31110102010120211122001010200
42201332233202202110131
52424333202031031310
635401334413054113
72226126434116032
oct241765742422435
943363524561120
1011131205330205
113601799245504
1212b9376187339
1362988bc3820c
142a6a78b5b389
1514483525c9c0
hexa1faf8a251d

11131205330205 has 48 divisors (see below), whose sum is σ = 19760084023680. Its totient is φ = 5794745673600.

The previous prime is 11131205330107. The next prime is 11131205330207. The reversal of 11131205330205 is 50203350213111.

11131205330205 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 120 + 5 + 330 + 205 = 666.

It is not a de Polignac number, because 11131205330205 - 28 = 11131205329949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131205330207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15117825 + ... + 15837014.

It is an arithmetic number, because the mean of its divisors is an integer number (411668417160).

Almost surely, 211131205330205 is an apocalyptic number.

11131205330205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11131205330205 is a deficient number, since it is larger than the sum of its proper divisors (8628878693475).

11131205330205 is a wasteful number, since it uses less digits than its factorization.

11131205330205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30955042 (or 30955039 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 11131205330205 its reverse (50203350213111), we get a palindrome (61334555543316).

The spelling of 11131205330205 in words is "eleven trillion, one hundred thirty-one billion, two hundred five million, three hundred thirty thousand, two hundred five".

Divisors: 1 3 5 9 15 45 61 131 183 305 393 549 655 915 1179 1965 2745 5895 7991 23973 39955 71919 119865 359595 30954839 92864517 154774195 278593551 464322585 1392967755 1888245179 4055083909 5664735537 9441225895 12165251727 16994206611 20275419545 28323677685 36495755181 60826258635 84971033055 182478775905 247360118449 742080355347 1236800592245 2226241066041 3710401776735 11131205330205