Search a number
-
+
11033223221033 = 131797514681309
BaseRepresentation
bin1010000010001101111101…
…0110011100111100101001
31110001202200022000011201022
42200203133112130330221
52421232020121033113
635244332012302225
72216060361665126
oct240433726347451
943052608004638
1011033223221033
113574188966682
1212a2390171975
136205754c8220
142a2021ad174d
15141eed26b908
hexa08df59cf29

11033223221033 has 16 divisors (see below), whose sum is σ = 12710569631760. Its totient is φ = 9486605869056.

The previous prime is 11033223221029. The next prime is 11033223221107. The reversal of 11033223221033 is 33012232233011.

It can be written as a sum of positive squares in 8 ways, for example, as 998944278784 + 10034278942249 = 999472^2 + 3167693^2 .

It is a cyclic number.

It is not a de Polignac number, because 11033223221033 - 22 = 11033223221029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11033223220993 and 11033223221011.

It is not an unprimeable number, because it can be changed into a prime (11033223221003) 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, 257319218 + ... + 257362091.

It is an arithmetic number, because the mean of its divisors is an integer number (794410601985).

Almost surely, 211033223221033 is an apocalyptic number.

11033223221033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11033223221033 is a deficient number, since it is larger than the sum of its proper divisors (1677346410727).

11033223221033 is a wasteful number, since it uses less digits than its factorization.

11033223221033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514681436.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 11033223221033 its reverse (33012232233011), we get a palindrome (44045455454044).

The spelling of 11033223221033 in words is "eleven trillion, thirty-three billion, two hundred twenty-three million, two hundred twenty-one thousand, thirty-three".

Divisors: 1 13 17 97 221 1261 1649 21437 514681309 6690857017 8749582253 49924086973 113744569289 649013130649 848709478541 11033223221033