Search a number
-
+
10003125 = 3551197
BaseRepresentation
bin100110001010…
…001010110101
3200211012201010
4212022022311
510030100000
6554222433
7151011426
oct46121265
920735633
1010003125
115712550
123424a19
1320c3112
14148564d
15d28d50
hex98a2b5

10003125 has 48 divisors (see below), whose sum is σ = 18373824. Its totient is φ = 4800000.

The previous prime is 10003121. The next prime is 10003127. The reversal of 10003125 is 52130001.

It is not a de Polignac number, because 10003125 - 22 = 10003121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10003125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103077 + ... + 103173.

It is an arithmetic number, because the mean of its divisors is an integer number (382788).

Almost surely, 210003125 is an apocalyptic number.

10003125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10003125 is a deficient number, since it is larger than the sum of its proper divisors (8370699).

10003125 is an frugal number, since it uses more digits than its factorization.

10003125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10003125 is about 3162.7717274568. The cubic root of 10003125 is about 215.4659086939.

Adding to 10003125 its reverse (52130001), we get a palindrome (62133126).

The spelling of 10003125 in words is "ten million, three thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 97 125 165 275 291 375 485 625 825 1067 1375 1455 1875 2425 3125 3201 4125 5335 6875 7275 9375 12125 16005 20625 26675 34375 36375 60625 80025 103125 133375 181875 303125 400125 666875 909375 2000625 3334375 10003125