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112115216201 is a prime number
BaseRepresentation
bin110100001101010010…
…1100110111101001001
3101201101111120002111212
41220122211212331021
53314102443404301
6123301030102505
711046214420352
oct1503245467511
9351344502455
10112115216201
114360313137a
121988b1aaa35
13a7597b4921
1455d80b0d29
152db2b684bb
hex1a1a966f49

112115216201 has 2 divisors, whose sum is σ = 112115216202. Its totient is φ = 112115216200.

The previous prime is 112115216179. The next prime is 112115216209. The reversal of 112115216201 is 102612511211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106354254400 + 5760961801 = 326120^2 + 75901^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112115216201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (112115216209) 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, 56057608100 + 56057608101.

It is an arithmetic number, because the mean of its divisors is an integer number (56057608101).

Almost surely, 2112115216201 is an apocalyptic number.

It is an amenable number.

112115216201 is a deficient number, since it is larger than the sum of its proper divisors (1).

112115216201 is an equidigital number, since it uses as much as digits as its factorization.

112115216201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 23.

Adding to 112115216201 its reverse (102612511211), we get a palindrome (214727727412).

The spelling of 112115216201 in words is "one hundred twelve billion, one hundred fifteen million, two hundred sixteen thousand, two hundred one".