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4124123201225 = 521789411085317
BaseRepresentation
bin111100000000111000111…
…001011111111011001001
3112121021002020101122012002
4330000320321133323021
51020032201014414400
612434332425000345
7603646421545256
oct74007071377311
915537066348162
104124123201225
111350038038905
125673486230b5
1323bb982ac531
1410387410a42d
1572427e1eed5
hex3c038e5fec9

4124123201225 has 24 divisors (see below), whose sum is σ = 5415341764248. Its totient is φ = 3104872012800.

The previous prime is 4124123201221. The next prime is 4124123201257. The reversal of 4124123201225 is 5221023214214.

4124123201225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 85715443984 + 4038407757241 = 292772^2 + 2009579^2 .

It is not a de Polignac number, because 4124123201225 - 22 = 4124123201221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4124123201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3257267 + ... + 4342583.

It is an arithmetic number, because the mean of its divisors is an integer number (225639240177).

Almost surely, 24124123201225 is an apocalyptic number.

It is an amenable number.

4124123201225 is a deficient number, since it is larger than the sum of its proper divisors (1291218563023).

4124123201225 is a wasteful number, since it uses less digits than its factorization.

4124123201225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094285 (or 1094280 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 4124123201225 its reverse (5221023214214), we get a palindrome (9345146415439).

The spelling of 4124123201225 in words is "four trillion, one hundred twenty-four billion, one hundred twenty-three million, two hundred one thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 425 8941 44705 151997 223525 759985 1085317 3799925 5426585 18450389 27132925 92251945 461259725 9703819297 48519096485 164964928049 242595482425 824824640245 4124123201225