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2142124301 is a prime number
BaseRepresentation
bin111111110101110…
…0011100100001101
312112021210012010002
41333223203210031
513341340434201
6552321054045
7104040520232
oct17753434415
95467705102
102142124301
119aa19a769
124b9487325
13281a49595
141646d3789
15c80d876b
hex7fae390d

2142124301 has 2 divisors, whose sum is σ = 2142124302. Its totient is φ = 2142124300.

The previous prime is 2142124289. The next prime is 2142124319. The reversal of 2142124301 is 1034212412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1944721801 + 197402500 = 44099^2 + 14050^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142124301 - 214 = 2142107917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2142124601) 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, 1071062150 + 1071062151.

It is an arithmetic number, because the mean of its divisors is an integer number (1071062151).

Almost surely, 22142124301 is an apocalyptic number.

It is an amenable number.

2142124301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142124301 is an equidigital number, since it uses as much as digits as its factorization.

2142124301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2142124301 is about 46283.0887149939. The cubic root of 2142124301 is about 1289.0850032507.

Adding to 2142124301 its reverse (1034212412), we get a palindrome (3176336713).

The spelling of 2142124301 in words is "two billion, one hundred forty-two million, one hundred twenty-four thousand, three hundred one".