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112144302401 is a prime number
BaseRepresentation
bin110100001110001010…
…0100100000101000001
3101201110112021211021112
41220130110210011001
53314132420134101
6123303545333105
711050016561645
oct1503424440501
9351415254245
10112144302401
114361859825a
1219898a97195
13a7628299b1
1455dbcc2c25
152db54b16bb
hex1a1c524141

112144302401 has 2 divisors, whose sum is σ = 112144302402. Its totient is φ = 112144302400.

The previous prime is 112144302383. The next prime is 112144302461. The reversal of 112144302401 is 104203441211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64820650801 + 47323651600 = 254599^2 + 217540^2 .

It is a cyclic number.

It is not a de Polignac number, because 112144302401 - 26 = 112144302337 is a prime.

It is a super-2 number, since 2×1121443024012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112144302461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56072151200 + 56072151201.

It is an arithmetic number, because the mean of its divisors is an integer number (56072151201).

Almost surely, 2112144302401 is an apocalyptic number.

It is an amenable number.

112144302401 is a deficient number, since it is larger than the sum of its proper divisors (1).

112144302401 is an equidigital number, since it uses as much as digits as its factorization.

112144302401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 112144302401 its reverse (104203441211), we get a palindrome (216347743612).

The spelling of 112144302401 in words is "one hundred twelve billion, one hundred forty-four million, three hundred two thousand, four hundred one".