Search a number
-
+
20010020122120 = 23571274791174763
BaseRepresentation
bin1001000110010111100100…
…01001000010111000001000
32121211221100201002110010211
410203023302021002320020
510110321010122401440
6110320250520050504
74133450644451620
oct443136211027010
977757321073124
1020010020122120
1164152247760a6
1222b20ab303a34
13b21c241c8092
144d26c0d3b880
1524a78e8baeea
hex1232f2242e08

20010020122120 has 128 divisors (see below), whose sum is σ = 51967800115200. Its totient is φ = 6792342310656.

The previous prime is 20010020122097. The next prime is 20010020122199. The reversal of 20010020122120 is 2122102001002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20010020122120.

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 31 ways as a sum of consecutive naturals, for example, 16445859 + ... + 17620621.

It is an arithmetic number, because the mean of its divisors is an integer number (405998438400).

Almost surely, 220010020122120 is an apocalyptic number.

20010020122120 is a gapful number since it is divisible by the number (20) 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 20010020122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25983900057600).

20010020122120 is an abundant number, since it is smaller than the sum of its proper divisors (31957779993080).

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

20010020122120 is a wasteful number, since it uses less digits than its factorization.

20010020122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175387 (or 1175383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20010020122120 its reverse (2122102001002), we get a palindrome (22132122123122).

The spelling of 20010020122120 in words is "twenty trillion, ten billion, twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 479 508 635 889 958 1016 1270 1778 1916 2395 2540 3353 3556 3832 4445 4790 5080 6706 7112 8890 9580 13412 16765 17780 19160 26824 33530 35560 60833 67060 121666 134120 243332 304165 425831 486664 608330 851662 1174763 1216660 1703324 2129155 2349526 2433320 3406648 4258310 4699052 5873815 8223341 8516620 9398104 11747630 16446682 17033240 23495260 32893364 41116705 46990520 65786728 82233410 149194901 164466820 298389802 328933640 562711477 596779604 745974505 1044364307 1125422954 1193559208 1491949010 2088728614 2250845908 2813557385 2983898020 3938980339 4177457228 4501691816 5221821535 5627114770 5967796040 7877960678 8354914456 10443643070 11254229540 15755921356 19694901695 20887286140 22508459080 31511842712 39389803390 41774572280 71464357579 78779606780 142928715158 157559213560 285857430316 357321787895 500250503053 571714860632 714643575790 1000501006106 1429287151580 2001002012212 2501252515265 2858574303160 4002004024424 5002505030530 10005010061060 20010020122120