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11330344303311 = 311379790425011
BaseRepresentation
bin1010010011100000110100…
…1001011011101011001111
31111010011121011202000210010
42210320031021123223033
52441114021120201221
640033031024244303
72246406331344405
oct244701511335317
944104534660703
1011330344303311
113679198a83430
12132ba91470693
136425a6a58007
142b256a749475
15149adcd02c76
hexa4e0d25bacf

11330344303311 has 16 divisors (see below), whose sum is σ = 16484841387648. Its totient is φ = 6865066759200.

The previous prime is 11330344303279. The next prime is 11330344303351.

11330344303311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11330344303311 - 25 = 11330344303279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330344303351) 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 15 ways as a sum of consecutive naturals, for example, 45087205 + ... + 45337806.

It is an arithmetic number, because the mean of its divisors is an integer number (1030302586728).

Almost surely, 211330344303311 is an apocalyptic number.

11330344303311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11330344303311 is a deficient number, since it is larger than the sum of its proper divisors (5154497084337).

11330344303311 is a wasteful number, since it uses less digits than its factorization.

11330344303311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90428822.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 1133034 and 4303311, that added together give a palindrome (5436345).

The spelling of 11330344303311 in words is "eleven trillion, three hundred thirty billion, three hundred forty-four million, three hundred three thousand, three hundred eleven".

Divisors: 1 3 11 33 3797 11391 41767 125301 90425011 271275033 994675121 2984025363 343343766767 1030031300301 3776781434437 11330344303311