Search a number
-
+
112221411213313 is a prime number
BaseRepresentation
bin11001100001000010010101…
…010110100000000000000001
3112201100021002002122122120001
4121201002111112200000001
5104202113422232311223
61034401445443320001
732431505120343223
oct3141022526400001
9481307062578501
10112221411213313
1132836919029696
1210705317680001
134a80583a05c8c
141d9d78c388413
15ce920a73c9ad
hex6610955a0001

112221411213313 has 2 divisors, whose sum is σ = 112221411213314. Its totient is φ = 112221411213312.

The previous prime is 112221411213293. The next prime is 112221411213343. The reversal of 112221411213313 is 313312114122211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62982111760129 + 49239299453184 = 7936127^2 + 7017072^2 .

It is a cyclic number.

It is not a de Polignac number, because 112221411213313 - 233 = 112212821278721 is a prime.

It is not a weakly prime, because it can be changed into another prime (112221411213343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56110705606656 + 56110705606657.

It is an arithmetic number, because the mean of its divisors is an integer number (56110705606657).

Almost surely, 2112221411213313 is an apocalyptic number.

It is an amenable number.

112221411213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

112221411213313 is an equidigital number, since it uses as much as digits as its factorization.

112221411213313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 28.

Adding to 112221411213313 its reverse (313312114122211), we get a palindrome (425533525335524).

The spelling of 112221411213313 in words is "one hundred twelve trillion, two hundred twenty-one billion, four hundred eleven million, two hundred thirteen thousand, three hundred thirteen".