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200201003137 is a prime number
BaseRepresentation
bin1011101001110011101…
…0001110000010000001
3201010202100111200222001
42322130322032002001
511240002424100022
6231545430144001
720315111306662
oct2723472160201
9633670450861
10200201003137
11779a52798a3
1232972ab2001
1315b56b67c45
149992a85369
15531ae2ab27
hex2e9ce8e081

200201003137 has 2 divisors, whose sum is σ = 200201003138. Its totient is φ = 200201003136.

The previous prime is 200201003111. The next prime is 200201003161. The reversal of 200201003137 is 731300102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124690909456 + 75510093681 = 353116^2 + 274791^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201003137 - 223 = 200192614529 is a prime.

It is a super-2 number, since 2×2002010031372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (200201000137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100501568 + 100100501569.

It is an arithmetic number, because the mean of its divisors is an integer number (100100501569).

Almost surely, 2200201003137 is an apocalyptic number.

It is an amenable number.

200201003137 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201003137 is an equidigital number, since it uses as much as digits as its factorization.

200201003137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

Adding to 200201003137 its reverse (731300102002), we get a palindrome (931501105139).

The spelling of 200201003137 in words is "two hundred billion, two hundred one million, three thousand, one hundred thirty-seven".