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10018201 is a prime number
BaseRepresentation
bin100110001101…
…110110011001
3200211222101111
4212031312121
510031040301
6554420321
7151103404
oct46156631
920758344
1010018201
115722906
1234316a1
1320c9c3b
14148ad3b
15d2d551
hex98dd99

10018201 has 2 divisors, whose sum is σ = 10018202. Its totient is φ = 10018200.

The previous prime is 10018199. The next prime is 10018207. The reversal of 10018201 is 10281001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7209225 + 2808976 = 2685^2 + 1676^2 .

It is a cyclic number.

It is not a de Polignac number, because 10018201 - 21 = 10018199 is a prime.

Together with 10018199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10018207) 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, 5009100 + 5009101.

It is an arithmetic number, because the mean of its divisors is an integer number (5009101).

Almost surely, 210018201 is an apocalyptic number.

10018201 is the 1416-th centered decagonal number.

It is an amenable number.

10018201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10018201 is an equidigital number, since it uses as much as digits as its factorization.

10018201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 10018201 is about 3165.1541826584. The cubic root of 10018201 is about 215.5740993344.

Adding to 10018201 its reverse (10281001), we get a palindrome (20299202).

The spelling of 10018201 in words is "ten million, eighteen thousand, two hundred one".