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123530000417 is a prime number
BaseRepresentation
bin111001100001011110…
…1100011100000100001
3102210212000111012201122
41303002331203200201
54010442140003132
6132425432342025
711632121451545
oct1630275434041
9383760435648
10123530000417
114843051273a
121bb35b44915
13b858628c05
145d9c0b3a25
15332ed3b912
hex1cc2f63821

123530000417 has 2 divisors, whose sum is σ = 123530000418. Its totient is φ = 123530000416.

The previous prime is 123530000371. The next prime is 123530000459. The reversal of 123530000417 is 714000035321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122724803041 + 805197376 = 350321^2 + 28376^2 .

It is an emirp because it is prime and its reverse (714000035321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123530000417 - 224 = 123513223201 is a prime.

It is a super-2 number, since 2×1235300004172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123530000467) 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, 61765000208 + 61765000209.

It is an arithmetic number, because the mean of its divisors is an integer number (61765000209).

Almost surely, 2123530000417 is an apocalyptic number.

It is an amenable number.

123530000417 is a deficient number, since it is larger than the sum of its proper divisors (1).

123530000417 is an equidigital number, since it uses as much as digits as its factorization.

123530000417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 26.

Adding to 123530000417 its reverse (714000035321), we get a palindrome (837530035738).

The spelling of 123530000417 in words is "one hundred twenty-three billion, five hundred thirty million, four hundred seventeen", and thus it is an aban number.