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20100221202020 = 22517191309519883
BaseRepresentation
bin1001001000111111100101…
…00010110110111001100100
32122011120011222100002000212
410210133302202312321210
510113310223111431040
6110425525242154552
74143123135131141
oct444376242667144
978146158302025
1020100221202020
11644a501947523
1223076834b2a58
13b2a59a89203b
144d6bda81d3c8
1524ccbd716d65
hex1247f28b6e64

20100221202020 has 48 divisors (see below), whose sum is σ = 44927430202368. Its totient is φ = 7527523530240.

The previous prime is 20100221201947. The next prime is 20100221202029. The reversal of 20100221202020 is 2020212200102.

It is a junction number, because it is equal to n+sod(n) for n = 20100221201986 and 20100221202004.

It is not an unprimeable number, because it can be changed into a prime (20100221202029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 154695002 + ... + 154824881.

It is an arithmetic number, because the mean of its divisors is an integer number (935988129216).

Almost surely, 220100221202020 is an apocalyptic number.

20100221202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100221202020 is an abundant number, since it is smaller than the sum of its proper divisors (24827209000348).

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

20100221202020 is a wasteful number, since it uses less digits than its factorization.

20100221202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309520100 (or 309520098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20100221202020 its reverse (2020212200102), we get a palindrome (22120433402122).

The spelling of 20100221202020 in words is "twenty trillion, one hundred billion, two hundred twenty-one million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 191 340 382 764 955 1910 3247 3820 6494 12988 16235 32470 64940 309519883 619039766 1238079532 1547599415 3095198830 5261838011 6190397660 10523676022 21047352044 26309190055 52618380110 59118297653 105236760220 118236595306 236473190612 295591488265 591182976530 1005011060101 1182365953060 2010022120202 4020044240404 5025055300505 10050110601010 20100221202020