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12221333001 = 331393256417
BaseRepresentation
bin10110110000111001…
…01011111000001001
31011112201121001011000
423120130223320021
5200012130124001
65340413325213
7611566421313
oct133034537011
934481531130
1012221333001
115201695409
122450a96809
1311c9c7abb7
1483d1947b3
154b7de0a86
hex2d872be09

12221333001 has 16 divisors (see below), whose sum is σ = 18235940800. Its totient is φ = 8088937344.

The previous prime is 12221332999. The next prime is 12221333023. The reversal of 12221333001 is 10033312221.

12221333001 is a `hidden beast` number, since 122 + 213 + 330 + 0 + 1 = 666.

12221333001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12221333001 - 21 = 12221332999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12226333001) 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 15 ways as a sum of consecutive naturals, for example, 1624456 + ... + 1631961.

It is an arithmetic number, because the mean of its divisors is an integer number (1139746300).

Almost surely, 212221333001 is an apocalyptic number.

It is an amenable number.

12221333001 is a deficient number, since it is larger than the sum of its proper divisors (6014607799).

12221333001 is a wasteful number, since it uses less digits than its factorization.

12221333001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256565 (or 3256559 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12221333001 its reverse (10033312221), we get a palindrome (22254645222).

The spelling of 12221333001 in words is "twelve billion, two hundred twenty-one million, three hundred thirty-three thousand, one".

Divisors: 1 3 9 27 139 417 1251 3753 3256417 9769251 29307753 87923259 452641963 1357925889 4073777667 12221333001