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2001123102220 = 225111779285733
BaseRepresentation
bin11101000111101100001…
…110110100111000001100
321002022020201011100120121
4131013230032310320030
5230241300003232340
64131145300554324
7264401460500404
oct35075416647014
97068221140517
102001123102220
11701742905140
122839b80b29a4
131169221434b8
146cbd7ac3804
15370c18c894a
hex1d1ec3b4e0c

2001123102220 has 144 divisors (see below), whose sum is σ = 4916340098208. Its totient is φ = 676199147520.

The previous prime is 2001123102211. The next prime is 2001123102239. The reversal of 2001123102220 is 222013211002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2001123102194 and 2001123102203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23298474 + ... + 23384206.

It is an arithmetic number, because the mean of its divisors is an integer number (34141250682).

Almost surely, 22001123102220 is an apocalyptic number.

2001123102220 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 2001123102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458170049104).

2001123102220 is an abundant number, since it is smaller than the sum of its proper divisors (2915216995988).

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

2001123102220 is a wasteful number, since it uses less digits than its factorization.

2001123102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85928 (or 85847 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2001123102220 its reverse (222013211002), we get a palindrome (2223136313222).

The spelling of 2001123102220 in words is "two trillion, one billion, one hundred twenty-three million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 79 85 110 158 170 187 220 316 340 374 395 748 790 869 935 1343 1580 1738 1870 2686 3476 3740 4345 5372 6241 6715 8690 12482 13430 14773 17380 24964 26860 29546 31205 59092 62410 68651 73865 85733 106097 124820 137302 147730 171466 212194 274604 295460 342932 343255 424388 428665 530485 686510 857330 943063 1060970 1167067 1373020 1457461 1714660 1886126 2121940 2334134 2914922 3772252 4668268 4715315 5829844 5835335 6772907 7287305 9430630 11670670 13545814 14574610 16032071 18861260 23341340 27091628 29149220 32064142 33864535 64128284 67729070 74501977 80160355 115139419 135458140 149003954 160320710 230278838 298007908 320641420 372509885 460557676 535059653 575697095 745019770 1070119306 1151394190 1266533609 1490039540 2140238612 2302788380 2533067218 2675298265 5066134436 5350596530 5885656183 6332668045 9096014101 10701193060 11771312366 12665336090 18192028202 23542624732 25330672180 29428280915 36384056404 45480070505 58856561830 90960141010 100056155111 117713123660 181920282020 200112310222 400224620444 500280775555 1000561551110 2001123102220