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2142340001 is a prime number
BaseRepresentation
bin111111110110001…
…1000001110100001
312112022012010222222
41333230120032201
513341414340001
6552325440425
7104042406134
oct17754301641
95468163888
102142340001
119aa32782a
124b9570115
13281ac3809
1416474c21b
15c812c61b
hex7fb183a1

2142340001 has 2 divisors, whose sum is σ = 2142340002. Its totient is φ = 2142340000.

The previous prime is 2142339989. The next prime is 2142340019. The reversal of 2142340001 is 1000432412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1951872400 + 190467601 = 44180^2 + 13801^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142340001 - 222 = 2138145697 is a prime.

It is not a weakly prime, because it can be changed into another prime (2142340021) 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, 1071170000 + 1071170001.

It is an arithmetic number, because the mean of its divisors is an integer number (1071170001).

Almost surely, 22142340001 is an apocalyptic number.

It is an amenable number.

2142340001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142340001 is an equidigital number, since it uses as much as digits as its factorization.

2142340001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2142340001 is about 46285.4188811120. The cubic root of 2142340001 is about 1289.1282696946.

Adding to 2142340001 its reverse (1000432412), we get a palindrome (3142772413).

The spelling of 2142340001 in words is "two billion, one hundred forty-two million, three hundred forty thousand, one".