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12211121110013 = 723593019742571
BaseRepresentation
bin1011000110110001111110…
…0010010011101111111101
31121020101001000200201020022
42301230133202103233331
53100031334001010023
641545413412101525
72400136651565540
oct261543742235775
947211030621208
1012211121110013
113988786583611
12145271b9048a5
136a7671a5b617
14303042a98857
1516298c8a87c8
hexb1b1f893bfd

12211121110013 has 32 divisors (see below), whose sum is σ = 14809988229120. Its totient is φ = 9841357120320.

The previous prime is 12211121109917. The next prime is 12211121110031. The reversal of 12211121110013 is 31001112111221.

It is a cyclic number.

It is not a de Polignac number, because 12211121110013 - 228 = 12210852674557 is a prime.

It is a super-2 number, since 2×122111211100132 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211121109973 and 12211121110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211121110093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286820018 + ... + 286862588.

It is an arithmetic number, because the mean of its divisors is an integer number (462812132160).

Almost surely, 212211121110013 is an apocalyptic number.

It is an amenable number.

12211121110013 is a deficient number, since it is larger than the sum of its proper divisors (2598867119107).

12211121110013 is a wasteful number, since it uses less digits than its factorization.

12211121110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72857.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 12211121110013 its reverse (31001112111221), we get a palindrome (43212233221234).

The spelling of 12211121110013 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred ten thousand, thirteen".

Divisors: 1 7 23 59 161 413 1357 9499 30197 42571 211379 297997 694531 979133 1781623 2511689 4861717 6853931 12471361 17581823 40977329 57768847 286841303 404381929 1285516487 8998615409 29566879201 75845472733 206968154407 530918309131 1744445872859 12211121110013