Search a number
-
+
2031340413301 is a prime number
BaseRepresentation
bin11101100011110101010…
…100101110000101110101
321012012020121100210201021
4131203311110232011311
5231240141121211201
64153103534501141
7266521336423303
oct35436524560565
97165217323637
102031340413301
11713539785201
1228982b9647b1
13119729544124
1470462d39273
1537c8e62aea1
hex1d8f552e175

2031340413301 has 2 divisors, whose sum is σ = 2031340413302. Its totient is φ = 2031340413300.

The previous prime is 2031340413239. The next prime is 2031340413391. The reversal of 2031340413301 is 1033140431302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1254344000625 + 776996412676 = 1119975^2 + 881474^2 .

It is a cyclic number.

It is not a de Polignac number, because 2031340413301 - 235 = 1996980674933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2031340413391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1015670206650 + 1015670206651.

It is an arithmetic number, because the mean of its divisors is an integer number (1015670206651).

Almost surely, 22031340413301 is an apocalyptic number.

It is an amenable number.

2031340413301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2031340413301 is an equidigital number, since it uses as much as digits as its factorization.

2031340413301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2031340413301 its reverse (1033140431302), we get a palindrome (3064480844603).

The spelling of 2031340413301 in words is "two trillion, thirty-one billion, three hundred forty million, four hundred thirteen thousand, three hundred one".