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2003111137 is a prime number
BaseRepresentation
bin111011101100101…
…0000110011100001
312011121012120220101
41313121100303201
513100244024022
6530433342401
7100432110106
oct16731206341
95147176811
102003111137
11938782055
1247aa07a01
1325bcc6481
14150068aad
15bacc9627
hex77650ce1

2003111137 has 2 divisors, whose sum is σ = 2003111138. Its totient is φ = 2003111136.

The previous prime is 2003111093. The next prime is 2003111141. The reversal of 2003111137 is 7311113002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1070663841 + 932447296 = 32721^2 + 30536^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003111137 - 215 = 2003078369 is a prime.

It is not a weakly prime, because it can be changed into another prime (2003111177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001555568 + 1001555569.

It is an arithmetic number, because the mean of its divisors is an integer number (1001555569).

Almost surely, 22003111137 is an apocalyptic number.

It is an amenable number.

2003111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003111137 is an equidigital number, since it uses as much as digits as its factorization.

2003111137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 2003111137 is about 44756.1296025472. The cubic root of 2003111137 is about 1260.5740092700.

Adding to 2003111137 its reverse (7311113002), we get a palindrome (9314224139).

The spelling of 2003111137 in words is "two billion, three million, one hundred eleven thousand, one hundred thirty-seven".