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201040400117 is a prime number
BaseRepresentation
bin1011101100111011110…
…0010000111011110101
3201012220211222111011002
42323032330100323311
511243212320300432
6232205013253045
720344653130334
oct2731674207365
9635824874132
10201040400117
1178296079207
1232b68034185
1315c5ba3304b
149a32347d1b
155369985e62
hex2ecef10ef5

201040400117 has 2 divisors, whose sum is σ = 201040400118. Its totient is φ = 201040400116.

The previous prime is 201040400051. The next prime is 201040400137. The reversal of 201040400117 is 711004040102.

It is an a-pointer prime, because the next prime (201040400137) can be obtained adding 201040400117 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174601965316 + 26438434801 = 417854^2 + 162599^2 .

It is a cyclic number.

It is not a de Polignac number, because 201040400117 - 228 = 200771964661 is a prime.

It is a super-2 number, since 2×2010404001172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201040400137) 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, 100520200058 + 100520200059.

It is an arithmetic number, because the mean of its divisors is an integer number (100520200059).

Almost surely, 2201040400117 is an apocalyptic number.

It is an amenable number.

201040400117 is a deficient number, since it is larger than the sum of its proper divisors (1).

201040400117 is an equidigital number, since it uses as much as digits as its factorization.

201040400117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 201040400117 its reverse (711004040102), we get a palindrome (912044440219).

The spelling of 201040400117 in words is "two hundred one billion, forty million, four hundred thousand, one hundred seventeen".