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202111010020 = 22519979415827
BaseRepresentation
bin1011110000111011000…
…0010100010011100100
3201022200110112002211201
42330032300110103210
511302410404310040
6232503140212244
720413333145113
oct2741660242344
9638613462751
10202111010020
117879543a287
123320669a084
131609c79352a
149ad45d5c7a
1553cd963a9a
hex2f0ec144e4

202111010020 has 96 divisors (see below), whose sum is σ = 451934824320. Its totient is φ = 75706306560.

The previous prime is 202111009979. The next prime is 202111010027. The reversal of 202111010020 is 20010111202.

202111010020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 202111009979 and 202111010006.

It is not an unprimeable number, because it can be changed into a prime (202111010027) by changing a digit.

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, 34682347 + ... + 34688173.

It is an arithmetic number, because the mean of its divisors is an integer number (4707654420).

Almost surely, 2202111010020 is an apocalyptic number.

202111010020 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 202111010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225967412160).

202111010020 is an abundant number, since it is smaller than the sum of its proper divisors (249823814300).

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

202111010020 is a wasteful number, since it uses less digits than its factorization.

202111010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202111010020 its reverse (20010111202), we get a palindrome (222121121222).

The spelling of 202111010020 in words is "two hundred two billion, one hundred eleven million, ten thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 380 388 485 941 970 1843 1882 1940 3686 3764 4705 5827 7372 9215 9410 11654 17879 18430 18820 23308 29135 35758 36860 58270 71516 89395 91277 110713 116540 178790 182554 221426 357580 365108 442852 456385 553565 565219 912770 1107130 1130438 1734263 1825540 2214260 2260876 2826095 3468526 5483207 5652190 6937052 8671315 10739161 10966414 11304380 17342630 21478322 21932828 27416035 34685260 42956644 53695805 54832070 104180933 107391610 109664140 208361866 214783220 416723732 520904665 531871079 1041809330 1063742158 2083618660 2127484316 2659355395 5318710790 10105550501 10637421580 20211101002 40422202004 50527752505 101055505010 202111010020