Search a number
-
+
431341310993 is a prime number
BaseRepresentation
bin1100100011011011111…
…00100001010000010001
31112020100220202221010212
412101231330201100101
524031341333422433
6530053325133505
743110016435355
oct6215574412021
91466326687125
10431341310993
11156a26a1a20a
126b71b3ba295
13318a1873888
1416c3c803465
15b348172d48
hex646df21411

431341310993 has 2 divisors, whose sum is σ = 431341310994. Its totient is φ = 431341310992.

The previous prime is 431341310977. The next prime is 431341311047. The reversal of 431341310993 is 399013143134.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 378364002769 + 52977308224 = 615113^2 + 230168^2 .

It is a cyclic number.

It is not a de Polignac number, because 431341310993 - 24 = 431341310977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 431341310993.

It is not a weakly prime, because it can be changed into another prime (431341310093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215670655496 + 215670655497.

It is an arithmetic number, because the mean of its divisors is an integer number (215670655497).

Almost surely, 2431341310993 is an apocalyptic number.

It is an amenable number.

431341310993 is a deficient number, since it is larger than the sum of its proper divisors (1).

431341310993 is an equidigital number, since it uses as much as digits as its factorization.

431341310993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 41.

The spelling of 431341310993 in words is "four hundred thirty-one billion, three hundred forty-one million, three hundred ten thousand, nine hundred ninety-three".