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20001022110120 = 23351722743191289
BaseRepresentation
bin1001000110000110110011…
…10100010110100110101000
32121211002010121202002011010
410203003121310112212220
510110144043130010440
6110312202005303520
74133011654560522
oct443033164264650
977732117662133
1020001022110120
116411427612547
1222b03b9a04ba0
13b2111bc9291c
144d20a9cc2a12
1524a414983580
hex1230d9d169a8

20001022110120 has 128 divisors (see below), whose sum is σ = 63812539497600. Its totient is φ = 4997750317056.

The previous prime is 20001022110109. The next prime is 20001022110133. The reversal of 20001022110120 is 2101122010002.

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 = 20001022110096 and 20001022110105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21132565 + ... + 22058724.

It is an arithmetic number, because the mean of its divisors is an integer number (498535464825).

Almost surely, 220001022110120 is an apocalyptic number.

20001022110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001022110120 is an abundant number, since it is smaller than the sum of its proper divisors (43811517387480).

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

20001022110120 is a wasteful number, since it uses less digits than its factorization.

20001022110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43191547 (or 43191543 counting only the distinct ones).

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

Adding to 20001022110120 its reverse (2101122010002), we get a palindrome (22102144120122).

The spelling of 20001022110120 in words is "twenty trillion, one billion, twenty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 227 255 340 408 454 510 680 681 908 1020 1135 1362 1816 2040 2270 2724 3405 3859 4540 5448 6810 7718 9080 11577 13620 15436 19295 23154 27240 30872 38590 46308 57885 77180 92616 115770 154360 231540 463080 43191289 86382578 129573867 172765156 215956445 259147734 345530312 431912890 518295468 647869335 734251913 863825780 1036590936 1295738670 1468503826 1727651560 2202755739 2591477340 2937007652 3671259565 4405511478 5182954680 5874015304 7342519130 8811022956 9804422603 11013778695 14685038260 17622045912 19608845206 22027557390 29370076520 29413267809 39217690412 44055114780 49022113015 58826535618 78435380824 88110229560 98044226030 117653071236 147066339045 166675184251 196088452060 235306142472 294132678090 333350368502 392176904120 500025552753 588265356180 666700737004 833375921255 1000051105506 1176530712360 1333401474008 1666751842510 2000102211012 2500127763765 3333503685020 4000204422024 5000255527530 6667007370040 10000511055060 20001022110120