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12221223314333 = 1121016829146437
BaseRepresentation
bin1011000111010111100110…
…1011001010001110011101
31121021100010001202212022212
42301311321223022032131
53100213031132024313
641554204045250205
72400645210113345
oct261657153121635
947240101685285
1012221223314333
113991a9aa55200
12145467ab63965
136a85c1981a07
14303720623d25
15162d7e7043a8
hexb1d79aca39d

12221223314333 has 24 divisors (see below), whose sum is σ = 13568327111640. Its totient is φ = 10998515088000.

The previous prime is 12221223314329. The next prime is 12221223314353. The reversal of 12221223314333 is 33341332212221.

It can be written as a sum of positive squares in 4 ways, for example, as 7335717653209 + 4885505661124 = 2708453^2 + 2210318^2 .

It is not a de Polignac number, because 12221223314333 - 22 = 12221223314329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12221223314333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221223314323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83383991 + ... + 83530427.

It is an arithmetic number, because the mean of its divisors is an integer number (565346962985).

Almost surely, 212221223314333 is an apocalyptic number.

It is an amenable number.

12221223314333 is a deficient number, since it is larger than the sum of its proper divisors (1347103797307).

12221223314333 is a wasteful number, since it uses less digits than its factorization.

12221223314333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153389 (or 153378 counting only the distinct ones).

The product of its digits is 31104, while the sum is 32.

Adding to 12221223314333 its reverse (33341332212221), we get a palindrome (45562555526554).

The spelling of 12221223314333 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty-three million, three hundred fourteen thousand, three hundred thirty-three".

Divisors: 1 11 101 121 1111 6829 12221 75119 146437 689729 826309 1610807 7587019 14790137 17718877 83457209 162691507 1000018273 1789606577 11000201003 101001845573 121002211033 1111020301303 12221223314333