Search a number
-
+
331142434030061 is a prime number
BaseRepresentation
bin100101101001011000001101…
…1001001101000000111101101
31121102110220111120211012002222
41023102300123021220013231
5321400414201102430221
63132140422321325125
7126515152133203223
oct11322603311500755
91542426446735088
10331142434030061
119656a7991653a5
12311817571967a5
13112a079ca43954
145bab544c14b13
152843b946199ab
hex12d2c1b2681ed

331142434030061 has 2 divisors, whose sum is σ = 331142434030062. Its totient is φ = 331142434030060.

The previous prime is 331142434030007. The next prime is 331142434030151. The reversal of 331142434030061 is 160030434241133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 330653091809161 + 489342220900 = 18183869^2 + 699530^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331142434030061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331142434030561) 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, 165571217015030 + 165571217015031.

It is an arithmetic number, because the mean of its divisors is an integer number (165571217015031).

Almost surely, 2331142434030061 is an apocalyptic number.

It is an amenable number.

331142434030061 is a deficient number, since it is larger than the sum of its proper divisors (1).

331142434030061 is an equidigital number, since it uses as much as digits as its factorization.

331142434030061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 35.

Adding to 331142434030061 its reverse (160030434241133), we get a palindrome (491172868271194).

The spelling of 331142434030061 in words is "three hundred thirty-one trillion, one hundred forty-two billion, four hundred thirty-four million, thirty thousand, sixty-one".