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331143434433313 is a prime number
BaseRepresentation
bin100101101001011000101011…
…0110001110111001100100001
31121102111000002022020221101021
41023102301112301313030201
5321400423223203331223
63132141105455405441
7126515216001403615
oct11322612661671441
91542430068227337
10331143434433313
1196570161934147
1231181996223881
13112a08cc092538
145bab5dba29345
152843c0237a65d
hex12d2c56c77321

331143434433313 has 2 divisors, whose sum is σ = 331143434433314. Its totient is φ = 331143434433312.

The previous prime is 331143434433311. The next prime is 331143434433337. The reversal of 331143434433313 is 313334434341133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 314985221239329 + 16158213193984 = 17747823^2 + 4019728^2 .

It is a cyclic number.

It is not a de Polignac number, because 331143434433313 - 21 = 331143434433311 is a prime.

Together with 331143434433311, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 331143434433313.

It is not a weakly prime, because it can be changed into another prime (331143434433311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165571717216656 + 165571717216657.

It is an arithmetic number, because the mean of its divisors is an integer number (165571717216657).

Almost surely, 2331143434433313 is an apocalyptic number.

It is an amenable number.

331143434433313 is a deficient number, since it is larger than the sum of its proper divisors (1).

331143434433313 is an equidigital number, since it uses as much as digits as its factorization.

331143434433313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1679616, while the sum is 43.

Adding to 331143434433313 its reverse (313334434341133), we get a palindrome (644477868774446).

The spelling of 331143434433313 in words is "three hundred thirty-one trillion, one hundred forty-three billion, four hundred thirty-four million, four hundred thirty-three thousand, three hundred thirteen".