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103214564137 is a prime number
BaseRepresentation
bin110000000100000010…
…0010100001100101001
3100212102012102010020201
41200020010110030221
53142340412023022
6115225514152201
710312516214416
oct1401004241451
9325365363221
10103214564137
113a855a26783
1218006422661
13996b7aa3b9
144dd1d5b10d
152a41563127
hex1808114329

103214564137 has 2 divisors, whose sum is σ = 103214564138. Its totient is φ = 103214564136.

The previous prime is 103214564107. The next prime is 103214564203. The reversal of 103214564137 is 731465412301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75078192016 + 28136372121 = 274004^2 + 167739^2 .

It is a cyclic number.

It is not a de Polignac number, because 103214564137 - 211 = 103214562089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103214564096 and 103214564105.

It is not a weakly prime, because it can be changed into another prime (103214564107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51607282068 + 51607282069.

It is an arithmetic number, because the mean of its divisors is an integer number (51607282069).

Almost surely, 2103214564137 is an apocalyptic number.

It is an amenable number.

103214564137 is a deficient number, since it is larger than the sum of its proper divisors (1).

103214564137 is an equidigital number, since it uses as much as digits as its factorization.

103214564137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 103214564137 its reverse (731465412301), we get a palindrome (834679976438).

The spelling of 103214564137 in words is "one hundred three billion, two hundred fourteen million, five hundred sixty-four thousand, one hundred thirty-seven".