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12234443221 = 7112132394649
BaseRepresentation
bin10110110010011101…
…01100100111010101
31011120122021002222201
423121032230213111
5200024004140341
65342002324501
7612116023450
oct133116544725
934518232881
1012234443221
11520902a300
122455359731
1311cc8bb320
14840c08497
154b9130331
hex2d93ac9d5

12234443221 has 48 divisors (see below), whose sum is σ = 16623936000. Its totient is φ = 8761294080.

The previous prime is 12234443191. The next prime is 12234443231.

12234443221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12234443221 - 213 = 12234435029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12234443221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12234443231) 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, 2629305 + ... + 2633953.

It is an arithmetic number, because the mean of its divisors is an integer number (346332000).

Almost surely, 212234443221 is an apocalyptic number.

12234443221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12234443221 is a deficient number, since it is larger than the sum of its proper divisors (4389492779).

12234443221 is a wasteful number, since it uses less digits than its factorization.

12234443221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4919 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 1223 and 4443221, that added together give a palindrome (4444444).

The spelling of 12234443221 in words is "twelve billion, two hundred thirty-four million, four hundred forty-three thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 121 143 239 847 1001 1573 1673 2629 3107 4649 11011 18403 21749 28919 32543 34177 51139 60437 202433 239239 357973 375947 423059 562529 664807 1111111 2631629 3937703 4653649 7312877 7777777 12222221 14444443 51190139 85555547 101111101 134444431 158888873 941111017 1112222111 1747777603 12234443221