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112121212013 is a prime number
BaseRepresentation
bin110100001101011110…
…0011110110001101101
3101201101220211201012222
41220122330132301231
53314111012241023
6123301402405125
711046316402016
oct1503274366155
9351356751188
10112121212013
1143606557098
12198912007a5
13a75ab03a45
1455d8bd200d
152db344ecc8
hex1a1af1ec6d

112121212013 has 2 divisors, whose sum is σ = 112121212014. Its totient is φ = 112121212012.

The previous prime is 112121211967. The next prime is 112121212031. The reversal of 112121212013 is 310212121211.

It is a happy number.

Together with next prime (112121212031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56688276649 + 55432935364 = 238093^2 + 235442^2 .

It is a cyclic number.

It is not a de Polignac number, because 112121212013 - 214 = 112121195629 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112121211982 and 112121212000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112121212043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060606006 + 56060606007.

It is an arithmetic number, because the mean of its divisors is an integer number (56060606007).

Almost surely, 2112121212013 is an apocalyptic number.

It is an amenable number.

112121212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121212013 is an equidigital number, since it uses as much as digits as its factorization.

112121212013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 112121212013 its reverse (310212121211), we get a palindrome (422333333224).

The spelling of 112121212013 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, thirteen".