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125512005125 = 5313174543421
BaseRepresentation
bin111010011100100011…
…0010011011000000101
3102222222010222111001102
41310321012103120011
54024022033131000
6133354233505445
712032206304123
oct1647106233005
9388863874042
10125512005125
1149258289161
12203a9872285
13bab3142470
146109406913
1533e8d473d5
hex1d39193605

125512005125 has 32 divisors (see below), whose sum is σ = 178611005664. Its totient is φ = 87233664000.

The previous prime is 125512005089. The next prime is 125512005167. The reversal of 125512005125 is 521500215521.

It can be written as a sum of positive squares in 16 ways, for example, as 120925194049 + 4586811076 = 347743^2 + 67726^2 .

It is not a de Polignac number, because 125512005125 - 222 = 125507810821 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 2244086 + ... + 2299335.

It is an arithmetic number, because the mean of its divisors is an integer number (5581593927).

Almost surely, 2125512005125 is an apocalyptic number.

It is an amenable number.

125512005125 is a deficient number, since it is larger than the sum of its proper divisors (53099000539).

125512005125 is a wasteful number, since it uses less digits than its factorization.

125512005125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543466 (or 4543456 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 29.

The spelling of 125512005125 in words is "one hundred twenty-five billion, five hundred twelve million, five thousand, one hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 125 221 325 425 1105 1625 2125 5525 27625 4543421 22717105 59064473 77238157 113585525 295322365 386190785 567927625 1004096041 1476611825 1930953925 5020480205 7383059125 9654769625 25102401025 125512005125