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128003125 = 5540961
BaseRepresentation
bin1111010000100…
…10110000110101
322220212020021111
413220102300311
5230232100000
620411315021
73113002645
oct750226065
9286766244
10128003125
1166288708
1236a4ba71
13206998c3
1413000525
15b386cba
hex7a12c35

128003125 has 12 divisors (see below), whose sum is σ = 159997572. Its totient is φ = 102400000.

The previous prime is 128003111. The next prime is 128003167. The reversal of 128003125 is 521300821.

It can be written as a sum of positive squares in 6 ways, for example, as 78694641 + 49308484 = 8871^2 + 7022^2 .

It is not a de Polignac number, because 128003125 - 217 = 127872053 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 128003096 and 128003105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17356 + ... + 23605.

It is an arithmetic number, because the mean of its divisors is an integer number (13333131).

Almost surely, 2128003125 is an apocalyptic number.

It is an amenable number.

128003125 is a deficient number, since it is larger than the sum of its proper divisors (31994447).

128003125 is an frugal number, since it uses more digits than its factorization.

128003125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40986 (or 40966 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 128003125 is about 11313.8466049350. The cubic root of 128003125 is about 503.9725212301.

Adding to 128003125 its reverse (521300821), we get a palindrome (649303946).

The spelling of 128003125 in words is "one hundred twenty-eight million, three thousand, one hundred twenty-five".

Divisors: 1 5 25 125 625 3125 40961 204805 1024025 5120125 25600625 128003125