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111312120121 is a prime number
BaseRepresentation
bin110011110101010111…
…0000010100100111001
3101122022112101120210121
41213222232002210321
53310431400320441
6123045221013241
711020263260356
oct1475256024471
9348275346717
10111312120121
1143230876404
12196a6254221
13a65c2b9747
14555d57b62d
152d673cddd1
hex19eab82939

111312120121 has 2 divisors, whose sum is σ = 111312120122. Its totient is φ = 111312120120.

The previous prime is 111312120113. The next prime is 111312120137. The reversal of 111312120121 is 121021213111.

It is a happy number.

It is an a-pointer prime, because the next prime (111312120137) can be obtained adding 111312120121 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78406160121 + 32905960000 = 280011^2 + 181400^2 .

It is a cyclic number.

It is not a de Polignac number, because 111312120121 - 23 = 111312120113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111312120095 and 111312120104.

It is not a weakly prime, because it can be changed into another prime (111312120191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55656060060 + 55656060061.

It is an arithmetic number, because the mean of its divisors is an integer number (55656060061).

Almost surely, 2111312120121 is an apocalyptic number.

It is an amenable number.

111312120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111312120121 is an equidigital number, since it uses as much as digits as its factorization.

111312120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 111312120121 its reverse (121021213111), we get a palindrome (232333333232).

The spelling of 111312120121 in words is "one hundred eleven billion, three hundred twelve million, one hundred twenty thousand, one hundred twenty-one".