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20220201100 = 22521129711721
BaseRepresentation
bin10010110101001101…
…111100100010001100
31221012011212122101001
4102311031330202030
5312402332413400
613142233030044
71314034605421
oct226515744214
957164778331
1020220201100
11863685a400
123b03855324
131ba31b5a48
14d9b645d48
157d5265a6a
hex4b537c88c

20220201100 has 108 divisors (see below), whose sum is σ = 48307080024. Its totient is φ = 7340960000.

The previous prime is 20220201097. The next prime is 20220201139. The reversal of 20220201100 is 110202202.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 35 ways as a sum of consecutive naturals, for example, 11748240 + ... + 11749960.

It is an arithmetic number, because the mean of its divisors is an integer number (447287778).

Almost surely, 220220201100 is an apocalyptic number.

20220201100 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 20220201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24153540012).

20220201100 is an abundant number, since it is smaller than the sum of its proper divisors (28086878924).

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

20220201100 is a wasteful number, since it uses less digits than its factorization.

20220201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20220201100 its reverse (110202202), we get a palindrome (20330403302).

The spelling of 20220201100 in words is "twenty billion, two hundred twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 971 1100 1210 1721 1942 2420 3025 3442 3884 4855 6050 6884 8605 9710 10681 12100 17210 18931 19420 21362 24275 34420 37862 42724 43025 48550 53405 75724 86050 94655 97100 106810 117491 172100 189310 208241 213620 234982 267025 378620 416482 469964 473275 534050 587455 832964 946550 1041205 1068100 1174910 1671091 1893100 2082410 2349820 2937275 3342182 4164820 5206025 5874550 6684364 8355455 10412050 11749100 16710910 18382001 20824100 33421820 36764002 41777275 73528004 83554550 91910005 167109100 183820010 202202011 367640020 404404022 459550025 808808044 919100050 1011010055 1838200100 2022020110 4044040220 5055050275 10110100550 20220201100