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115201 is a prime number
BaseRepresentation
bin11100001000000001
312212000201
4130020001
512141301
62245201
7656602
oct341001
9185021
10115201
1179609
1256801
1340588
142dda9
1524201
hex1c201

115201 has 2 divisors, whose sum is σ = 115202. Its totient is φ = 115200.

The previous prime is 115183. The next prime is 115211. The reversal of 115201 is 102511.

It is a happy number.

It is an a-pointer prime, because the next prime (115211) can be obtained adding 115201 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65025 + 50176 = 255^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 115201 - 29 = 114689 is a prime.

115201 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (115211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57600 + 57601.

It is an arithmetic number, because the mean of its divisors is an integer number (57601).

It is a Proth number, since it is equal to 225 ⋅ 29 + 1 and 225 < 29.

2115201 is an apocalyptic number.

It is an amenable number.

115201 is a deficient number, since it is larger than the sum of its proper divisors (1).

115201 is an equidigital number, since it uses as much as digits as its factorization.

115201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 115201 is about 339.4127281055. The cubic root of 115201 is about 48.6577567559.

Adding to 115201 its reverse (102511), we get a palindrome (217712).

The spelling of 115201 in words is "one hundred fifteen thousand, two hundred one".