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20010101122020 = 223510725491222769
BaseRepresentation
bin1001000110010111101101…
…11110000010001111100100
32121211221120100111200010010
410203023312332002033210
510110321141341401040
6110320302532130220
74133452650111132
oct443136676021744
977757510450103
1020010101122020
11641526646a569
1222b2112466970
13b21c37c18609
144d26cb9c4752
1524a796a6ae80
hex1232f6f823e4

20010101122020 has 96 divisors (see below), whose sum is σ = 56574144144000. Its totient is φ = 5284079417344.

The previous prime is 20010101121991. The next prime is 20010101122057. The reversal of 20010101122020 is 2022110101002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20010101121987 and 20010101122005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15753196 + ... + 16975964.

It is an arithmetic number, because the mean of its divisors is an integer number (589314001500).

Almost surely, 220010101122020 is an apocalyptic number.

20010101122020 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 20010101122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28287072072000).

20010101122020 is an abundant number, since it is smaller than the sum of its proper divisors (36564043021980).

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

20010101122020 is a wasteful number, since it uses less digits than its factorization.

20010101122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225437 (or 1225435 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20010101122020 its reverse (2022110101002), we get a palindrome (22032211223022).

The spelling of 20010101122020 in words is "twenty trillion, ten billion, one hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 2549 3210 5098 6420 7647 10196 12745 15294 25490 30588 38235 50980 76470 152940 272743 545486 818229 1090972 1222769 1363715 1636458 2445538 2727430 3272916 3668307 4091145 4891076 5454860 6113845 7336614 8182290 12227690 14673228 16364580 18341535 24455380 36683070 73366140 130836283 261672566 392508849 523345132 654181415 785017698 1308362830 1570035396 1962544245 2616725660 3116838181 3925088490 6233676362 7850176980 9350514543 12467352724 15584190905 18701029086 31168381810 37402058172 46752572715 62336763620 93505145430 187010290860 333501685367 667003370734 1000505056101 1334006741468 1667508426835 2001010112202 3335016853670 4002020224404 5002525280505 6670033707340 10005050561010 20010101122020