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11022331221 = 32111512692741
BaseRepresentation
bin10100100001111101…
…10110110101010101
31001110011110102220200
422100332312311111
5140033204044341
65021422451113
7540100161306
oct122076666525
931404412820
1011022331221
114746900650
122177433a99
131068745ba5
14767c447ad
15447a00db6
hex290fb6d55

11022331221 has 48 divisors (see below), whose sum is σ = 17554942080. Its totient is φ = 6608880000.

The previous prime is 11022331219. The next prime is 11022331231. The reversal of 11022331221 is 12213322011.

11022331221 is a `hidden beast` number, since 110 + 2 + 2 + 331 + 221 = 666.

It is not a de Polignac number, because 11022331221 - 21 = 11022331219 is a prime.

It is a super-3 number, since 3×110223312213 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11022331194 and 11022331203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022331231) 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 47 ways as a sum of consecutive naturals, for example, 4019911 + ... + 4022651.

It is an arithmetic number, because the mean of its divisors is an integer number (365727960).

Almost surely, 211022331221 is an apocalyptic number.

11022331221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11022331221 is a deficient number, since it is larger than the sum of its proper divisors (6532610859).

11022331221 is a wasteful number, since it uses less digits than its factorization.

11022331221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3175 counting only the distinct ones).

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

Adding to 11022331221 its reverse (12213322011), we get a palindrome (23235653232).

It can be divided in two parts, 11022 and 331221, that added together give a palindrome (342243).

The spelling of 11022331221 in words is "eleven billion, twenty-two million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 151 269 453 807 1359 1661 2421 2741 2959 4983 8223 8877 14949 24669 26631 30151 40619 90453 121857 271359 365571 413891 446809 737329 1241673 1340427 2211987 3725019 4021281 4552801 6635961 8110619 13658403 24331857 40975209 72995571 111336679 334010037 1002030111 1224703469 3674110407 11022331221