Search a number
-
+
245104001 is a prime number
BaseRepresentation
bin11101001101111…
…11110110000001
3122002012120110222
432212333312001
51000221312001
640153232425
76034230632
oct1646776601
9562176428
10245104001
1111639a29a
126a102715
133ba1a06c
14247a3889
15167b861b
hexe9bfd81

245104001 has 2 divisors, whose sum is σ = 245104002. Its totient is φ = 245104000.

The previous prime is 245103973. The next prime is 245104037. The reversal of 245104001 is 100401542.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208513600 + 36590401 = 14440^2 + 6049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-245104001 is a prime.

It is a super-3 number, since 3×2451040013 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (245104061) 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, 122552000 + 122552001.

It is an arithmetic number, because the mean of its divisors is an integer number (122552001).

Almost surely, 2245104001 is an apocalyptic number.

It is an amenable number.

245104001 is a deficient number, since it is larger than the sum of its proper divisors (1).

245104001 is an equidigital number, since it uses as much as digits as its factorization.

245104001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 245104001 is about 15655.7976800928. The cubic root of 245104001 is about 625.8210019105.

Adding to 245104001 its reverse (100401542), we get a palindrome (345505543).

The spelling of 245104001 in words is "two hundred forty-five million, one hundred four thousand, one".