Search a number
-
+
2135340001 is a prime number
BaseRepresentation
bin111111101000110…
…1011001111100001
312111211000111210201
41333101223033201
513333121340001
6551515425201
7103626043024
oct17721531741
95454014721
102135340001
119a6386603
124b7155201
132805125c2
141638491bb
15c76e8501
hex7f46b3e1

2135340001 has 2 divisors, whose sum is σ = 2135340002. Its totient is φ = 2135340000.

The previous prime is 2135339971. The next prime is 2135340007. The reversal of 2135340001 is 1000435312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2025090001 + 110250000 = 45001^2 + 10500^2 .

It is a cyclic number.

It is not a de Polignac number, because 2135340001 - 215 = 2135307233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2135340007) 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, 1067670000 + 1067670001.

It is an arithmetic number, because the mean of its divisors is an integer number (1067670001).

Almost surely, 22135340001 is an apocalyptic number.

It is an amenable number.

2135340001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2135340001 is an equidigital number, since it uses as much as digits as its factorization.

2135340001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2135340001 is about 46209.7392440165. The cubic root of 2135340001 is about 1287.7226813881.

Adding to 2135340001 its reverse (1000435312), we get a palindrome (3135775313).

The spelling of 2135340001 in words is "two billion, one hundred thirty-five million, three hundred forty thousand, one".