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11013233231011 = 1117293201004421
BaseRepresentation
bin1010000001000011011111…
…0110101100010010100011
31102222212002011022110120111
42200100313312230102203
52420420100201343021
635231224241352151
72214452120611624
oct240206766542243
942885064273514
1011013233231011
113566760054270
12129a531638657
1361b70ac1686b
142a1086c93a4b
1514172d32b8e1
hexa0437dac4a3

11013233231011 has 16 divisors (see below), whose sum is σ = 12764584814688. Its totient is φ = 9390926502400.

The previous prime is 11013233230957. The next prime is 11013233231017.

11013233231011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11013233231011 - 215 = 11013233198243 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11013233231017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100447420 + ... + 100557001.

It is an arithmetic number, because the mean of its divisors is an integer number (797786550918).

Almost surely, 211013233231011 is an apocalyptic number.

11013233231011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11013233231011 is a deficient number, since it is larger than the sum of its proper divisors (1751351583677).

11013233231011 is a wasteful number, since it uses less digits than its factorization.

11013233231011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201004742.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 1101323 and 3231011, that added together give a palindrome (4332334).

The spelling of 11013233231011 in words is "eleven trillion, thirteen billion, two hundred thirty-three million, two hundred thirty-one thousand, eleven".

Divisors: 1 11 17 187 293 3223 4981 54791 201004421 2211048631 3417075157 37587826727 58894295353 647837248883 1001203021001 11013233231011