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11033212221 = 324092997341
BaseRepresentation
bin10100100011010000…
…10111010100111101
31001110220221020211200
422101220113110331
5140044000242341
65022452010113
7540261520323
oct122150272475
931426836750
1011033212221
114751a62709
12217b000939
13106aa85755
14769477d13
1544894edb6
hex291a1753d

11033212221 has 12 divisors (see below), whose sum is σ = 15975832860. Its totient is φ = 7337488320.

The previous prime is 11033212199. The next prime is 11033212237. The reversal of 11033212221 is 12221233011.

11033212221 is a `hidden beast` number, since 110 + 332 + 1 + 2 + 221 = 666.

11033212221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7805722500 + 3227489721 = 88350^2 + 56811^2 .

It is not a de Polignac number, because 11033212221 - 27 = 11033212093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11033212194 and 11033212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033212291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1494990 + ... + 1502351.

It is an arithmetic number, because the mean of its divisors is an integer number (1331319405).

Almost surely, 211033212221 is an apocalyptic number.

It is an amenable number.

11033212221 is a deficient number, since it is larger than the sum of its proper divisors (4942620639).

11033212221 is a wasteful number, since it uses less digits than its factorization.

11033212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997756 (or 2997753 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11033212221 its reverse (12221233011), we get a palindrome (23254445232).

The spelling of 11033212221 in words is "eleven billion, thirty-three million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 409 1227 3681 2997341 8992023 26976069 1225912469 3677737407 11033212221