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1003300441 = 111321753599
BaseRepresentation
bin111011110011010…
…010011001011001
32120220212221110121
4323303102121121
54023321103231
6243320113241
733601625113
oct7363223131
92526787417
101003300441
11475378520
12240005821
1312cb24500
149736a3b3
155d134311
hex3bcd2659

1003300441 has 48 divisors (see below), whose sum is σ = 1280707200. Its totient is φ = 776156160.

The previous prime is 1003300439. The next prime is 1003300451. The reversal of 1003300441 is 1440033001.

It is not a de Polignac number, because 1003300441 - 21 = 1003300439 is a prime.

It is a super-2 number, since 2×10033004412 = 2013223549821588962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003300421) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1674660 + ... + 1675258.

It is an arithmetic number, because the mean of its divisors is an integer number (26681400).

Almost surely, 21003300441 is an apocalyptic number.

1003300441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003300441 is a deficient number, since it is larger than the sum of its proper divisors (277406759).

1003300441 is a wasteful number, since it uses less digits than its factorization.

1003300441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1003300441 is about 31674.9181687972. The cubic root of 1003300441 is about 1001.0989388909.

Adding to 1003300441 its reverse (1440033001), we get a palindrome (2443333442).

The spelling of 1003300441 in words is "one billion, three million, three hundred thousand, four hundred forty-one".

Divisors: 1 11 13 17 53 143 169 187 221 583 599 689 901 1859 2431 2873 6589 7579 7787 8957 9911 10183 11713 31603 31747 85657 98527 101231 112013 128843 132379 152269 349217 412711 539699 1113541 1456169 1674959 1720927 4539821 5365243 5936689 7016087 18930197 59017673 77176957 91209131 1003300441