Search a number
-
+
431581178113 is a prime number
BaseRepresentation
bin1100100011111000011…
…11100010100100000001
31112020222122010102222021
412101330033202210001
524032334240144423
6530133214241441
743115661325411
oct6217417424401
91466878112867
10431581178113
1115703a3619a8
126b7877b6281
133190c479097
1416c62602641
15b35e25495d
hex647c3e2901

431581178113 has 2 divisors, whose sum is σ = 431581178114. Its totient is φ = 431581178112.

The previous prime is 431581178101. The next prime is 431581178117. The reversal of 431581178113 is 311871185134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 314146798144 + 117434379969 = 560488^2 + 342687^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-431581178113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 431581178113.

It is not a weakly prime, because it can be changed into another prime (431581178117) 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, 215790589056 + 215790589057.

It is an arithmetic number, because the mean of its divisors is an integer number (215790589057).

Almost surely, 2431581178113 is an apocalyptic number.

It is an amenable number.

431581178113 is a deficient number, since it is larger than the sum of its proper divisors (1).

431581178113 is an equidigital number, since it uses as much as digits as its factorization.

431581178113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 43.

The spelling of 431581178113 in words is "four hundred thirty-one billion, five hundred eighty-one million, one hundred seventy-eight thousand, one hundred thirteen".