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1003042125 = 3253891593
BaseRepresentation
bin111011110010010…
…011010101001101
32120220101211010100
4323302103111031
54023234322000
6243310401313
733566501031
oct7362232515
92526354110
101003042125
11475211438
1223bb00239
1312ca63a67
14973001c1
155d0d2a00
hex3bc9354d

1003042125 has 24 divisors (see below), whose sum is σ = 1808152632. Its totient is φ = 534955200.

The previous prime is 1003042069. The next prime is 1003042141. The reversal of 1003042125 is 5212403001.

It can be written as a sum of positive squares in 4 ways, for example, as 303386724 + 699655401 = 17418^2 + 26451^2 .

It is not a de Polignac number, because 1003042125 - 27 = 1003041997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003042098 and 1003042107.

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 23 ways as a sum of consecutive naturals, for example, 444672 + ... + 446921.

It is an arithmetic number, because the mean of its divisors is an integer number (75339693).

Almost surely, 21003042125 is an apocalyptic number.

1003042125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1003042125 is a deficient number, since it is larger than the sum of its proper divisors (805110507).

1003042125 is an equidigital number, since it uses as much as digits as its factorization.

1003042125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891614 (or 891601 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1003042125 is about 31670.8402951358. The cubic root of 1003042125 is about 1001.0130151205.

Adding to 1003042125 its reverse (5212403001), we get a palindrome (6215445126).

The spelling of 1003042125 in words is "one billion, three million, forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 891593 2674779 4457965 8024337 13373895 22289825 40121685 66869475 111449125 200608425 334347375 1003042125