Search a number
-
+
2003300137 is a prime number
BaseRepresentation
bin111011101100111…
…1110111100101001
312011121120012011101
41313121332330221
513100321101022
6530441401401
7100433525116
oct16731767451
95147505141
102003300137
119388a1053
1247aa99261
1325c0614c7
141500b790d
15bad15627
hex7767ef29

2003300137 has 2 divisors, whose sum is σ = 2003300138. Its totient is φ = 2003300136.

The previous prime is 2003300119. The next prime is 2003300153. The reversal of 2003300137 is 7310033002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1640169001 + 363131136 = 40499^2 + 19056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2003300137 is a prime.

It is a super-2 number, since 2×20033001372 = 8026422877808437538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2003300177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001650068 + 1001650069.

It is an arithmetic number, because the mean of its divisors is an integer number (1001650069).

Almost surely, 22003300137 is an apocalyptic number.

It is an amenable number.

2003300137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003300137 is an equidigital number, since it uses as much as digits as its factorization.

2003300137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 2003300137 is about 44758.2409953742. The cubic root of 2003300137 is about 1260.6136544318.

Adding to 2003300137 its reverse (7310033002), we get a palindrome (9313333139).

The spelling of 2003300137 in words is "two billion, three million, three hundred thousand, one hundred thirty-seven".