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12111334140013 is a prime number
BaseRepresentation
bin1011000000111110001111…
…0001001110100001101101
31120212211110200220102012121
42300033203301032201231
53041413003014440023
641431511535032541
72360005102414003
oct260174361164155
946784420812177
1012111334140013
11394a42a420069
12143731136b751
1369b12b418c44
142dc29804ca73
1516009c1edd5d
hexb03e3c4e86d

12111334140013 has 2 divisors, whose sum is σ = 12111334140014. Its totient is φ = 12111334140012.

The previous prime is 12111334140007. The next prime is 12111334140043. The reversal of 12111334140013 is 31004143311121.

12111334140013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6980914348164 + 5130419791849 = 2642142^2 + 2265043^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111334140013 - 25 = 12111334139981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12111334140013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12111334140043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055667070006 + 6055667070007.

It is an arithmetic number, because the mean of its divisors is an integer number (6055667070007).

Almost surely, 212111334140013 is an apocalyptic number.

It is an amenable number.

12111334140013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111334140013 is an equidigital number, since it uses as much as digits as its factorization.

12111334140013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 12111334140013 its reverse (31004143311121), we get a palindrome (43115477451134).

The spelling of 12111334140013 in words is "twelve trillion, one hundred eleven billion, three hundred thirty-four million, one hundred forty thousand, thirteen".