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2001200141 is a prime number
BaseRepresentation
bin111011101000111…
…1110010000001101
312011110121111111202
41313101332100031
513044301401031
6530324355245
7100406630513
oct16721762015
95143544452
102001200141
11937697316
1247a245b25
1325b7a76c5
1414dacc4b3
15baa4d2cb
hex7747e40d

2001200141 has 2 divisors, whose sum is σ = 2001200142. Its totient is φ = 2001200140.

The previous prime is 2001200083. The next prime is 2001200143. The reversal of 2001200141 is 1410021002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1987287241 + 13912900 = 44579^2 + 3730^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001200141 - 226 = 1934091277 is a prime.

Together with 2001200143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001200143) 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, 1000600070 + 1000600071.

It is an arithmetic number, because the mean of its divisors is an integer number (1000600071).

Almost surely, 22001200141 is an apocalyptic number.

It is an amenable number.

2001200141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001200141 is an equidigital number, since it uses as much as digits as its factorization.

2001200141 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 11.

The square root of 2001200141 is about 44734.7755219583. The cubic root of 2001200141 is about 1260.1730133211.

Adding to 2001200141 its reverse (1410021002), we get a palindrome (3411221143).

The spelling of 2001200141 in words is "two billion, one million, two hundred thousand, one hundred forty-one".