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20000122210020 = 22351740034898317
BaseRepresentation
bin1001000110000101001000…
…01011100000011011100100
32121210222210220102102021210
410203002210023200123210
510110140222241210040
6110311532421311420
74132650446546211
oct443024413403344
977728726372253
1020000122210020
116411005649257
1222b01a8565570
13b21007702864
144d2022590b08
1524a3b0976480
hex1230a42e06e4

20000122210020 has 96 divisors (see below), whose sum is σ = 59309304582528. Its totient is φ = 5018383521792.

The previous prime is 20000122210001. The next prime is 20000122210051. The reversal of 20000122210020 is 2001222100002.

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 = 20000122209978 and 20000122210005.

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, 1633902 + ... + 6532218.

It is an arithmetic number, because the mean of its divisors is an integer number (617805256068).

Almost surely, 220000122210020 is an apocalyptic number.

20000122210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20000122210020 is an abundant number, since it is smaller than the sum of its proper divisors (39309182372508).

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

20000122210020 is a wasteful number, since it uses less digits than its factorization.

20000122210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902349 (or 4902347 counting only the distinct ones).

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

Adding to 20000122210020 its reverse (2001222100002), we get a palindrome (22001344310022).

The spelling of 20000122210020 in words is "twenty trillion, one hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 4003 8006 12009 16012 20015 24018 40030 48036 60045 68051 80060 120090 136102 204153 240180 272204 340255 408306 680510 816612 1020765 1361020 2041530 4083060 4898317 9796634 14694951 19593268 24491585 29389902 48983170 58779804 73474755 83271389 97966340 146949510 166542778 249814167 293899020 333085556 416356945 499628334 832713890 999256668 1249070835 1665427780 2498141670 4996283340 19607962951 39215925902 58823888853 78431851804 98039814755 117647777706 196079629510 235295555412 294119444265 333335370167 392159259020 588238888530 666670740334 1000006110501 1176477777060 1333341480668 1666676850835 2000012221002 3333353701670 4000024442004 5000030552505 6666707403340 10000061105010 20000122210020