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1003130055 = 33561181673
BaseRepresentation
bin111011110010101…
…000110011000111
32120220120021202000
4323302220303013
54023300130210
6243312320343
733600315264
oct7362506307
92526507660
101003130055
11475271504
1223bb430b3
1312ca94aa5
149732426b
155d0edac0
hex3bca8cc7

1003130055 has 64 divisors (see below), whose sum is σ = 1825299840. Its totient is φ = 522547200.

The previous prime is 1003130017. The next prime is 1003130069. The reversal of 1003130055 is 5500313001.

It is a happy number.

It is not a de Polignac number, because 1003130055 - 213 = 1003121863 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 63 ways as a sum of consecutive naturals, for example, 1490199 + ... + 1490871.

It is an arithmetic number, because the mean of its divisors is an integer number (28520310).

Almost surely, 21003130055 is an apocalyptic number.

1003130055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1003130055 is a deficient number, since it is larger than the sum of its proper divisors (822169785).

1003130055 is a wasteful number, since it uses less digits than its factorization.

1003130055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 1003130055 is about 31672.2284501738. The cubic root of 1003130055 is about 1001.0422649730.

Adding to 1003130055 its reverse (5500313001), we get a palindrome (6503443056).

The spelling of 1003130055 in words is "one billion, three million, one hundred thirty thousand, fifty-five".

Divisors: 1 3 5 9 15 27 45 61 135 181 183 305 543 549 673 905 915 1629 1647 2019 2715 2745 3365 4887 6057 8145 8235 10095 11041 18171 24435 30285 33123 41053 55205 90855 99369 121813 123159 165615 205265 298107 365439 369477 496845 609065 615795 1096317 1108431 1490535 1827195 1847385 3288951 5481585 5542155 7430593 16444755 22291779 37152965 66875337 111458895 200626011 334376685 1003130055