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11220112332011 = 1122310339142339
BaseRepresentation
bin1010001101000110001011…
…0011110101010011101011
31110201122001220211200121102
42203101202303311103223
52432312242224111021
635510240510432015
72235424562140652
oct243214263652353
943648056750542
1011220112332011
1136364719a3900
121312648b0260b
1363508a48b7ab
142ab0b0820199
15146cda68800b
hexa3462cf54eb

11220112332011 has 24 divisors (see below), whose sum is σ = 12994004325120. Its totient is φ = 9661894711920.

The previous prime is 11220112331999. The next prime is 11220112332043. The reversal of 11220112332011 is 11023321102211.

It is a de Polignac number, because none of the positive numbers 2k-11220112332011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11220112332071) 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 23 ways as a sum of consecutive naturals, for example, 19284521 + ... + 19857818.

It is an arithmetic number, because the mean of its divisors is an integer number (541416846880).

Almost surely, 211220112332011 is an apocalyptic number.

11220112332011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11220112332011 is a deficient number, since it is larger than the sum of its proper divisors (1773891993109).

11220112332011 is a wasteful number, since it uses less digits than its factorization.

11220112332011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39142487 (or 39142476 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11220112332011 its reverse (11023321102211), we get a palindrome (22243433434222).

The spelling of 11220112332011 in words is "eleven trillion, two hundred twenty billion, one hundred twelve million, three hundred thirty-two thousand, eleven".

Divisors: 1 11 23 103 121 253 1133 2369 2783 12463 26059 286649 39142339 430565729 900273797 4031660917 4736223019 9903011767 44348270087 92728201091 108933129437 487830970957 1020010212001 11220112332011