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11220011001001 = 1129311113094689
BaseRepresentation
bin1010001101000101110011…
…0001010010010010101001
31110201121210212011112121001
42203101130301102102221
52432312040304013001
635510222450515001
72235422221633165
oct243213461222251
943647725145531
1011220011001001
11363641a783370
12131261ab95a61
136350724a020a
142ab0a11a3ca5
15146cd181e001
hexa345cc524a9

11220011001001 has 16 divisors (see below), whose sum is σ = 12702795580800. Its totient is φ = 9816618918400.

The previous prime is 11220011000999. The next prime is 11220011001037. The reversal of 11220011001001 is 10010011002211.

It is a cyclic number.

It is not a de Polignac number, because 11220011001001 - 21 = 11220011000999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11220011001041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56448136 + ... + 56646553.

It is an arithmetic number, because the mean of its divisors is an integer number (793924723800).

Almost surely, 211220011001001 is an apocalyptic number.

11220011001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11220011001001 is a deficient number, since it is larger than the sum of its proper divisors (1482784579799).

11220011001001 is a wasteful number, since it uses less digits than its factorization.

11220011001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113095040.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11220011001001 its reverse (10010011002211), we get a palindrome (21230022003212).

The spelling of 11220011001001 in words is "eleven trillion, two hundred twenty billion, eleven million, one thousand, one".

Divisors: 1 11 29 311 319 3421 9019 99209 113094689 1244041579 3279745981 35172448279 36077205791 386896931069 1020001000091 11220011001001