Search a number
-
+
2003315117 is a prime number
BaseRepresentation
bin111011101101000…
…0010100110101101
312011121120221201012
41313122002212231
513100322040432
6530441555005
7100433616566
oct16732024655
95147527635
102003315117
11938901331
1247aaa5a65
1325c06827b
141500bd16d
15bad19cb2
hex776829ad

2003315117 has 2 divisors, whose sum is σ = 2003315118. Its totient is φ = 2003315116.

The previous prime is 2003315113. The next prime is 2003315123. The reversal of 2003315117 is 7115133002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1077086761 + 926228356 = 32819^2 + 30434^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003315117 - 22 = 2003315113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003315092 and 2003315101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003315113) 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, 1001657558 + 1001657559.

It is an arithmetic number, because the mean of its divisors is an integer number (1001657559).

Almost surely, 22003315117 is an apocalyptic number.

It is an amenable number.

2003315117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003315117 is an equidigital number, since it uses as much as digits as its factorization.

2003315117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 2003315117 is about 44758.4083385457. The cubic root of 2003315117 is about 1260.6167965713.

Adding to 2003315117 its reverse (7115133002), we get a palindrome (9118448119).

The spelling of 2003315117 in words is "two billion, three million, three hundred fifteen thousand, one hundred seventeen".