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201140400137 is a prime number
BaseRepresentation
bin1011101101010011100…
…1101111000000001001
3201020011211011000101112
42323110321233000021
511243413420301022
6232222544500105
720350306122515
oct2732471570011
9636154130345
10201140400137
117833756a756
1232b9561a635
1315c76676861
149a41739145
15537363a8e2
hex2ed4e6f009

201140400137 has 2 divisors, whose sum is σ = 201140400138. Its totient is φ = 201140400136.

The previous prime is 201140400113. The next prime is 201140400151. The reversal of 201140400137 is 731004041102.

It is a happy number.

201140400137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189489572416 + 11650827721 = 435304^2 + 107939^2 .

It is a cyclic number.

It is not a de Polignac number, because 201140400137 - 28 = 201140399881 is a prime.

It is not a weakly prime, because it can be changed into another prime (201140400737) 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, 100570200068 + 100570200069.

It is an arithmetic number, because the mean of its divisors is an integer number (100570200069).

Almost surely, 2201140400137 is an apocalyptic number.

It is an amenable number.

201140400137 is a deficient number, since it is larger than the sum of its proper divisors (1).

201140400137 is an equidigital number, since it uses as much as digits as its factorization.

201140400137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 201140400137 its reverse (731004041102), we get a palindrome (932144441239).

The spelling of 201140400137 in words is "two hundred one billion, one hundred forty million, four hundred thousand, one hundred thirty-seven".