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503313030 = 2325111633119
BaseRepresentation
bin11101111111111…
…111001010000110
31022002001221200100
4131333333022012
52012322004110
6121535424530
715321042633
oct3577771206
91262057610
10503313030
1123911a590
12120685146
138037507c
144abb918a
152e2bebc0
hex1dfff286

503313030 has 96 divisors (see below), whose sum is σ = 1436797440. Its totient is φ = 121227840.

The previous prime is 503313001. The next prime is 503313053. The reversal of 503313030 is 30313305.

503313030 is a `hidden beast` number, since 503 + 3 + 130 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 503312994 and 503313012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159811 + ... + 162929.

It is an arithmetic number, because the mean of its divisors is an integer number (14966640).

Almost surely, 2503313030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503313030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718398720).

503313030 is an abundant number, since it is smaller than the sum of its proper divisors (933484410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

503313030 is a wasteful number, since it uses less digits than its factorization.

503313030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 503313030 is about 22434.6390655165. The cubic root of 503313030 is about 795.4497040368.

Adding to 503313030 its reverse (30313305), we get a palindrome (533626335).

It can be divided in two parts, 50331 and 3030, that added together give a square (53361 = 2312).

The spelling of 503313030 in words is "five hundred three million, three hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 163 165 198 326 330 489 495 815 978 990 1467 1630 1793 2445 2934 3119 3586 4890 5379 6238 7335 8965 9357 10758 14670 15595 16137 17930 18714 26895 28071 31190 32274 34309 46785 53790 56142 68618 80685 93570 102927 140355 161370 171545 205854 280710 308781 343090 508397 514635 617562 1016794 1029270 1525191 1543905 2541985 3050382 3087810 4575573 5083970 5592367 7625955 9151146 11184734 15251910 16777101 22877865 27961835 33554202 45755730 50331303 55923670 83885505 100662606 167771010 251656515 503313030