Search a number
-
+
107013041 is a prime number
BaseRepresentation
bin1100110000011…
…10001110110001
321110100211021222
412120032032301
5204343404131
614341354425
72436411242
oct630161661
9243324258
10107013041
1155451533
122ba08a15
131922a935
14102d8cc9
1595dc87b
hex660e3b1

107013041 has 2 divisors, whose sum is σ = 107013042. Its totient is φ = 107013040.

The previous prime is 107013037. The next prime is 107013047. The reversal of 107013041 is 140310701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106523041 + 490000 = 10321^2 + 700^2 .

It is a cyclic number.

It is not a de Polignac number, because 107013041 - 22 = 107013037 is a prime.

It is a super-2 number, since 2×1070130412 = 22903581888135362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (107013047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53506520 + 53506521.

It is an arithmetic number, because the mean of its divisors is an integer number (53506521).

Almost surely, 2107013041 is an apocalyptic number.

It is an amenable number.

107013041 is a deficient number, since it is larger than the sum of its proper divisors (1).

107013041 is an equidigital number, since it uses as much as digits as its factorization.

107013041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 107013041 is about 10344.7107741106. The cubic root of 107013041 is about 474.7652261772.

Adding to 107013041 its reverse (140310701), we get a palindrome (247323742).

The spelling of 107013041 in words is "one hundred seven million, thirteen thousand, forty-one".