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12111011021213 = 132941297780261
BaseRepresentation
bin1011000000111101000010…
…0000101000000110011101
31120212210122011220021112122
42300033100200220012131
53041411322310134323
641431415513312325
72356664100065456
oct260172040500635
946783564807478
1012111011021213
11394a283a96135
1214372411056a5
1369b0a94b52a0
142dc26717c12d
1516007db74ec8
hexb03d082819d

12111011021213 has 16 divisors (see below), whose sum is σ = 13495642465200. Its totient is φ = 10791282862080.

The previous prime is 12111011021189. The next prime is 12111011021261. The reversal of 12111011021213 is 31212011011121.

It can be written as a sum of positive squares in 8 ways, for example, as 1447213812004 + 10663797209209 = 1203002^2 + 3265547^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111011021213 - 26 = 12111011021149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12111011021191 and 12111011021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111016021213) 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, 2333498 + ... + 5446763.

It is an arithmetic number, because the mean of its divisors is an integer number (843477654075).

Almost surely, 212111011021213 is an apocalyptic number.

12111011021213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12111011021213 is a deficient number, since it is larger than the sum of its proper divisors (1384631443987).

12111011021213 is a wasteful number, since it uses less digits than its factorization.

12111011021213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784432.

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

Adding to 12111011021213 its reverse (31212011011121), we get a palindrome (43323022032334).

The spelling of 12111011021213 in words is "twelve trillion, one hundred eleven billion, eleven million, twenty-one thousand, two hundred thirteen".

Divisors: 1 13 29 377 4129 53677 119741 1556633 7780261 101143393 225627569 2933158397 32124697669 417621069697 931616232401 12111011021213