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2103005137 is a prime number
BaseRepresentation
bin111110101011001…
…0100111111010001
312102120011201201011
41331112110333101
513301332131022
6544402410521
7103054151212
oct17526247721
95376151634
102103005137
1198a100982
124a8360a41
1327690094c
1415d42d409
15c495c977
hex7d594fd1

2103005137 has 2 divisors, whose sum is σ = 2103005138. Its totient is φ = 2103005136.

The previous prime is 2103005131. The next prime is 2103005143. The reversal of 2103005137 is 7315003012.

It is a balanced prime because it is at equal distance from previous prime (2103005131) and next prime (2103005143).

It can be written as a sum of positive squares in only one way, i.e., 1991301376 + 111703761 = 44624^2 + 10569^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2103005137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2103005131) 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, 1051502568 + 1051502569.

It is an arithmetic number, because the mean of its divisors is an integer number (1051502569).

Almost surely, 22103005137 is an apocalyptic number.

It is an amenable number.

2103005137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2103005137 is an equidigital number, since it uses as much as digits as its factorization.

2103005137 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 22.

The square root of 2103005137 is about 45858.5339604310. The cubic root of 2103005137 is about 1281.1897176254.

Adding to 2103005137 its reverse (7315003012), we get a palindrome (9418008149).

The spelling of 2103005137 in words is "two billion, one hundred three million, five thousand, one hundred thirty-seven".