Search a number
-
+
112356144401 is a prime number
BaseRepresentation
bin110100010100011110…
…0101011010100010001
3101202000021220111212112
41220220330223110101
53320101133110101
6123340554035105
711055201320054
oct1505074532421
9352007814775
10112356144401
1143717129296
1219937a18a95
13a79769c0a7
14561c0a8a9b
152dc8da96bb
hex1a28f2b511

112356144401 has 2 divisors, whose sum is σ = 112356144402. Its totient is φ = 112356144400.

The previous prime is 112356144293. The next prime is 112356144431. The reversal of 112356144401 is 104441653211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95002034176 + 17354110225 = 308224^2 + 131735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112356144401 is a prime.

It is not a weakly prime, because it can be changed into another prime (112356144431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56178072200 + 56178072201.

It is an arithmetic number, because the mean of its divisors is an integer number (56178072201).

Almost surely, 2112356144401 is an apocalyptic number.

It is an amenable number.

112356144401 is a deficient number, since it is larger than the sum of its proper divisors (1).

112356144401 is an equidigital number, since it uses as much as digits as its factorization.

112356144401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 112356144401 its reverse (104441653211), we get a palindrome (216797797612).

The spelling of 112356144401 in words is "one hundred twelve billion, three hundred fifty-six million, one hundred forty-four thousand, four hundred one".