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505213015120 = 245115319156713
BaseRepresentation
bin1110101101000010000…
…10101101010001010000
31210022001011102022121121
413112201002231101100
531234134012440440
61024031444132024
751333435526222
oct7264102552120
91708034368547
10505213015120
11185294637960
1281ab6997014
133884516c9c8
141a6496d4412
15d21d61534a
hex75a10ad450

505213015120 has 160 divisors (see below), whose sum is σ = 1312439998464. Its totient is φ = 179300659200.

The previous prime is 505213015063. The next prime is 505213015127. The reversal of 505213015120 is 21510312505.

It is a super-2 number, since 2×5052130151202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505213015127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8879884 + ... + 8936596.

Almost surely, 2505213015120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505213015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656219999232).

505213015120 is an abundant number, since it is smaller than the sum of its proper divisors (807226983344).

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

505213015120 is a wasteful number, since it uses less digits than its factorization.

505213015120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56981 (or 56975 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 505213015120 its reverse (21510312505), we get a palindrome (526723327625).

The spelling of 505213015120 in words is "five hundred five billion, two hundred thirteen million, fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 191 212 220 265 382 424 440 530 583 764 848 880 955 1060 1166 1528 1910 2101 2120 2332 2915 3056 3820 4202 4240 4664 5830 7640 8404 9328 10123 10505 11660 15280 16808 20246 21010 23320 33616 40492 42020 46640 50615 56713 80984 84040 101230 111353 113426 161968 168080 202460 222706 226852 283565 404920 445412 453704 556765 567130 623843 809840 890824 907408 1113530 1134260 1247686 1781648 2227060 2268520 2495372 3005789 3119215 4454120 4537040 4990744 6011578 6238430 8908240 9981488 10832183 12023156 12476860 15028945 21664366 24046312 24953720 30057890 33063679 43328732 48092624 49907440 54160915 60115780 66127358 86657464 108321830 119154013 120231560 132254716 165318395 173314928 216643660 238308026 240463120 264509432 330636790 433287320 476616052 529018864 574105699 595770065 661273580 866574640 953232104 1148211398 1191540130 1322547160 1906464208 2296422796 2383080260 2645094320 2870528495 4592845592 4766160520 5741056990 6315162689 9185691184 9532321040 11482113980 12630325378 22964227960 25260650756 31575813445 45928455920 50521301512 63151626890 101042603024 126303253780 252606507560 505213015120