Search a number
-
+
431042133073 is a prime number
BaseRepresentation
bin1100100010111000001…
…11001111110001010001
31112012121001211010012011
412101130013033301101
524030233241224243
6530003520502521
743066424451466
oct6213407176121
91465531733164
10431042133073
11156893057432
126b65717aa41
13318548a3016
1416c10ba566d
15b32bc7789d
hex645c1cfc51

431042133073 has 2 divisors, whose sum is σ = 431042133074. Its totient is φ = 431042133072.

The previous prime is 431042133059. The next prime is 431042133077. The reversal of 431042133073 is 370331240134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408643119504 + 22399013569 = 639252^2 + 149663^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-431042133073 is a prime.

It is not a weakly prime, because it can be changed into another prime (431042133077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215521066536 + 215521066537.

It is an arithmetic number, because the mean of its divisors is an integer number (215521066537).

Almost surely, 2431042133073 is an apocalyptic number.

It is an amenable number.

431042133073 is a deficient number, since it is larger than the sum of its proper divisors (1).

431042133073 is an equidigital number, since it uses as much as digits as its factorization.

431042133073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 31.

The spelling of 431042133073 in words is "four hundred thirty-one billion, forty-two million, one hundred thirty-three thousand, seventy-three".