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201033402137 is a prime number
BaseRepresentation
bin1011101100111010000…
…1100100011100011001
3201012220100210221201122
42323032201210130121
511243204022332022
6232204203255025
720344536503141
oct2731641443431
9635810727648
10201033402137
1178292129557
1232b6581a475
1315c5a452a29
149a31445921
155369052742
hex2ece864719

201033402137 has 2 divisors, whose sum is σ = 201033402138. Its totient is φ = 201033402136.

The previous prime is 201033402013. The next prime is 201033402181. The reversal of 201033402137 is 731204330102.

201033402137 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., 196487406361 + 4545995776 = 443269^2 + 67424^2 .

It is a cyclic number.

It is not a de Polignac number, because 201033402137 - 222 = 201029207833 is a prime.

It is not a weakly prime, because it can be changed into another prime (201033402737) 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, 100516701068 + 100516701069.

It is an arithmetic number, because the mean of its divisors is an integer number (100516701069).

Almost surely, 2201033402137 is an apocalyptic number.

It is an amenable number.

201033402137 is a deficient number, since it is larger than the sum of its proper divisors (1).

201033402137 is an equidigital number, since it uses as much as digits as its factorization.

201033402137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

Adding to 201033402137 its reverse (731204330102), we get a palindrome (932237732239).

The spelling of 201033402137 in words is "two hundred one billion, thirty-three million, four hundred two thousand, one hundred thirty-seven".