Search a number
-
+
2001311993 is a prime number
BaseRepresentation
bin111011101001001…
…1001100011111001
312011110211011221102
41313102121203321
513044313440433
6530331021145
7100410604562
oct16722314371
95143734842
102001311993
1193776335a
1247a29a7b5
1325b8165a5
1414db1b169
15baa714e8
hex774998f9

2001311993 has 2 divisors, whose sum is σ = 2001311994. Its totient is φ = 2001311992.

The previous prime is 2001311987. The next prime is 2001312017. The reversal of 2001311993 is 3991131002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1831583209 + 169728784 = 42797^2 + 13028^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001311993 - 26 = 2001311929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001314993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000655996 + 1000655997.

It is an arithmetic number, because the mean of its divisors is an integer number (1000655997).

Almost surely, 22001311993 is an apocalyptic number.

It is an amenable number.

2001311993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001311993 is an equidigital number, since it uses as much as digits as its factorization.

2001311993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 2001311993 is about 44736.0256728288. The cubic root of 2001311993 is about 1260.1964909405.

Adding to 2001311993 its reverse (3991131002), we get a palindrome (5992442995).

The spelling of 2001311993 in words is "two billion, one million, three hundred eleven thousand, nine hundred ninety-three".