Search a number
-
+
123630041 is a prime number
BaseRepresentation
bin1110101111001…
…11000111011001
322121122001112102
413113213013121
5223122130131
620133453145
73030560303
oct727470731
9277561472
10123630041
1163871097
12354a11b5
131c7c8292
14125c2973
15acc11cb
hex75e71d9

123630041 has 2 divisors, whose sum is σ = 123630042. Its totient is φ = 123630040.

The previous prime is 123630029. The next prime is 123630053. The reversal of 123630041 is 140036321.

It is a balanced prime because it is at equal distance from previous prime (123630029) and next prime (123630053).

It can be written as a sum of positive squares in only one way, i.e., 111408025 + 12222016 = 10555^2 + 3496^2 .

It is a cyclic number.

It is not a de Polignac number, because 123630041 - 26 = 123629977 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 123629995 and 123630022.

It is not a weakly prime, because it can be changed into another prime (123630011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61815020 + 61815021.

It is an arithmetic number, because the mean of its divisors is an integer number (61815021).

Almost surely, 2123630041 is an apocalyptic number.

It is an amenable number.

123630041 is a deficient number, since it is larger than the sum of its proper divisors (1).

123630041 is an equidigital number, since it uses as much as digits as its factorization.

123630041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 123630041 is about 11118.9046672773. The cubic root of 123630041 is about 498.1666740479.

Adding to 123630041 its reverse (140036321), we get a palindrome (263666362).

The spelling of 123630041 in words is "one hundred twenty-three million, six hundred thirty thousand, forty-one".