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20102221103220 = 22325373018351517
BaseRepresentation
bin1001001001000011010011…
…01111111000000001110100
32122011202100100111120201200
410210201221233320001310
510113323322100300340
6110430455523052500
74143223531041654
oct444415157700164
978152310446650
1020102221103220
116450338826933
122307b41211130
13b2a829003429
144d6d4a290364
1524cd890aa330
hex124869bf8074

20102221103220 has 72 divisors (see below), whose sum is σ = 62624757295464. Its totient is φ = 5215711419648.

The previous prime is 20102221103213. The next prime is 20102221103227. The reversal of 20102221103220 is 2230112220102.

20102221103220 is a `hidden beast` number, since 2 + 0 + 10 + 222 + 110 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20102221103213) and next prime (20102221103227).

It can be written as a sum of positive squares in 4 ways, for example, as 2978068101264 + 17124153001956 = 1725708^2 + 4138134^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20102221103193 and 20102221103202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102221103227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1509169099 + ... + 1509182418.

Almost surely, 220102221103220 is an apocalyptic number.

20102221103220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102221103220 is an abundant number, since it is smaller than the sum of its proper divisors (42522536192244).

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

20102221103220 is a wasteful number, since it uses less digits than its factorization.

20102221103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018351569 (or 3018351564 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20102221103220 its reverse (2230112220102), we get a palindrome (22332333323322).

The spelling of 20102221103220 in words is "twenty trillion, one hundred two billion, two hundred twenty-one million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 3018351517 6036703034 9055054551 12073406068 15091757585 18110109102 27165163653 30183515170 36220218204 45275272755 54330327306 60367030340 90550545510 108660654612 111679006129 135825818265 181101091020 223358012258 271651636530 335037018387 446716024516 543303273060 558395030645 670074036774 1005111055161 1116790061290 1340148073548 1675185091935 2010222110322 2233580122580 3350370183870 4020444220644 5025555275805 6700740367740 10051110551610 20102221103220