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111111121213 is a prime number
BaseRepresentation
bin110011101111010111…
…1010010100100111101
3101121210112011210010121
41213132233102210331
53310023421334323
6123013240534541
711012302642621
oct1473657224475
9347715153117
10111111121213
1143138370a04
121964aa81451
13a629772891
1455409b9181
152d54928a5d
hex19debd293d

111111121213 has 2 divisors, whose sum is σ = 111111121214. Its totient is φ = 111111121212.

The previous prime is 111111121189. The next prime is 111111121241. The reversal of 111111121213 is 312121111111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111110888889 + 232324 = 333333^2 + 482^2 .

It is an emirp because it is prime and its reverse (312121111111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111111121213 - 213 = 111111113021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111111121243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555560606 + 55555560607.

It is an arithmetic number, because the mean of its divisors is an integer number (55555560607).

Almost surely, 2111111121213 is an apocalyptic number.

It is an amenable number.

111111121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111121213 is an equidigital number, since it uses as much as digits as its factorization.

111111121213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12, while the sum is 16.

Adding to 111111121213 its reverse (312121111111), we get a palindrome (423232232324).

It can be divided in two parts, 111111 and 121213, that added together give a square (232324 = 4822).

The spelling of 111111121213 in words is "one hundred eleven billion, one hundred eleven million, one hundred twenty-one thousand, two hundred thirteen".