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201040000201 is a prime number
BaseRepresentation
bin1011101100111011101…
…0101111010011001001
3201012220211020011120101
42323032322233103021
511243212220001301
6232205000525401
720344646543365
oct2731672572311
9635824204511
10201040000201
11782959257a7
1232b67a80861
1315c5b923001
149a322822a5
155369907701
hex2eceeaf4c9

201040000201 has 2 divisors, whose sum is σ = 201040000202. Its totient is φ = 201040000200.

The previous prime is 201040000193. The next prime is 201040000237. The reversal of 201040000201 is 102000040102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128866640400 + 72173359801 = 358980^2 + 268651^2 .

It is a cyclic number.

It is not a de Polignac number, because 201040000201 - 23 = 201040000193 is a prime.

It is not a weakly prime, because it can be changed into another prime (201040000801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100520000100 + 100520000101.

It is an arithmetic number, because the mean of its divisors is an integer number (100520000101).

Almost surely, 2201040000201 is an apocalyptic number.

It is an amenable number.

201040000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

201040000201 is an equidigital number, since it uses as much as digits as its factorization.

201040000201 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 10.

Adding to 201040000201 its reverse (102000040102), we get a palindrome (303040040303).

The spelling of 201040000201 in words is "two hundred one billion, forty million, two hundred one", and thus it is an aban number.