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2002201120020 = 2235971115930829
BaseRepresentation
bin11101001000101100011…
…111001000110100010100
321002102000211122022222210
4131020230133020310110
5230301001441320040
64131444250353420
7264440260500423
oct35105437106424
97072024568883
102002201120020
11702146375942
1228405912b870
13116a6459875a
146cc9ad3d2ba
153713636b480
hex1d22c7c8d14

2002201120020 has 96 divisors (see below), whose sum is σ = 5664649939200. Its totient is φ = 528351473664.

The previous prime is 2002201119983. The next prime is 2002201120027. The reversal of 2002201120020 is 200211022002.

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 = 2002201119978 and 2002201120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002201120027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64929966 + ... + 64960794.

It is an arithmetic number, because the mean of its divisors is an integer number (59006770200).

Almost surely, 22002201120020 is an apocalyptic number.

2002201120020 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 2002201120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832324969600).

2002201120020 is an abundant number, since it is smaller than the sum of its proper divisors (3662448819180).

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

2002201120020 is a wasteful number, since it uses less digits than its factorization.

2002201120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42097 (or 42095 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002201120020 its reverse (200211022002), we get a palindrome (2202412142022).

The spelling of 2002201120020 in words is "two trillion, two billion, two hundred one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 11159 22318 30829 33477 44636 55795 61658 66954 92487 111590 123316 133908 154145 167385 184974 223180 308290 334770 369948 462435 616580 669540 924870 1082423 1849740 2164846 2990413 3247269 4329692 5412115 5980826 6494538 8971239 10824230 11961652 12989076 14952065 16236345 17942478 21648460 29904130 32472690 35884956 44856195 59808260 64945380 89712390 179424780 344020811 688041622 1032062433 1376083244 1720104055 2064124866 3440208110 4128249732 5160312165 6880416220 10320624330 20641248660 33370018667 66740037334 100110056001 133480074668 166850093335 200220112002 333700186670 400440224004 500550280005 667400373340 1001100560010 2002201120020