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11031122011 = 721319911437
BaseRepresentation
bin10100100011000000…
…11001000001011011
31001110210000001121111
422101200121001123
5140042431401021
65022335121151
7540234663400
oct122140310133
931423001544
1011031122011
114750865268
12217a3731b7
13106a503240
147690922a7
1544868a8e1
hex29181905b

11031122011 has 24 divisors (see below), whose sum is σ = 14546550480. Its totient is φ = 8268547392.

The previous prime is 11031121967. The next prime is 11031122017. The reversal of 11031122011 is 11022113011.

It is a happy number.

It is not a de Polignac number, because 11031122011 - 27 = 11031121883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11031121982 and 11031122000.

It is not an unprimeable number, because it can be changed into a prime (11031122017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443616 + ... + 467821.

It is an arithmetic number, because the mean of its divisors is an integer number (606106270).

Almost surely, 211031122011 is an apocalyptic number.

11031122011 is a deficient number, since it is larger than the sum of its proper divisors (3515428469).

11031122011 is a wasteful number, since it uses less digits than its factorization.

11031122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911483 (or 911476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11031122011 its reverse (11022113011), we get a palindrome (22053235022).

The spelling of 11031122011 in words is "eleven billion, thirty-one million, one hundred twenty-two thousand, eleven".

Divisors: 1 7 13 19 49 91 133 247 637 931 1729 12103 911437 6380059 11848681 17317303 44660413 82940767 121221121 225124939 580585369 848547847 1575874573 11031122011