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503052012200 = 23525328910061
BaseRepresentation
bin1110101001000000011…
…11001000101010101000
31210002110120002222220102
413110200033020222220
531220222303342300
61023033210244532
751226045360163
oct7244017105250
91702416088812
10503052012200
11184385823431
12815b3126748
133858c54355a
141a4c26c8ada
15d143a4d0d5
hex75203c8aa8

503052012200 has 144 divisors (see below), whose sum is σ = 1205594126100. Its totient is φ = 195186534400.

The previous prime is 503052012181. The next prime is 503052012217. The reversal of 503052012200 is 2210250305.

It can be written as a sum of positive squares in 18 ways, for example, as 918211204 + 502133800996 = 30302^2 + 708614^2 .

It is a super-2 number, since 2×5030520122002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49995170 + ... + 50005230.

Almost surely, 2503052012200 is an apocalyptic number.

503052012200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503052012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602797063050).

503052012200 is an abundant number, since it is smaller than the sum of its proper divisors (702542113900).

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

503052012200 is a wasteful number, since it uses less digits than its factorization.

503052012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10272 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 503052012200 its reverse (2210250305), we get a palindrome (505262262505).

The spelling of 503052012200 in words is "five hundred three billion, fifty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 89 100 106 178 200 212 265 356 424 445 530 712 890 1060 1325 1780 2120 2225 2650 2809 3560 4450 4717 5300 5618 8900 9434 10061 10600 11236 14045 17800 18868 20122 22472 23585 28090 37736 40244 47170 50305 56180 70225 80488 94340 100610 112360 117925 140450 188680 201220 235850 250001 251525 280900 402440 471700 500002 503050 533233 561800 895429 943400 1000004 1006100 1066466 1250005 1790858 2000008 2012200 2132932 2500010 2666165 3581716 4265864 4477145 5000020 5332330 6250025 7163432 8954290 10000040 10664660 12500050 13330825 17908580 21329320 22385725 25000100 26661650 28261349 35817160 44771450 47457737 50000200 53323300 56522698 89542900 94915474 106646600 113045396 141306745 179085800 189830948 226090792 237288685 282613490 379661896 474577370 565226980 706533725 949154740 1130453960 1186443425 1413067450 1898309480 2372886850 2515260061 2826134900 4745773700 5030520122 5652269800 9491547400 10061040244 12576300305 20122080488 25152600610 50305201220 62881501525 100610402440 125763003050 251526006100 503052012200