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11010020102020 = 22553611011685897
BaseRepresentation
bin1010000000110111100001…
…0101100100111110000100
31102222112210020020121020001
42200031320111210332010
52420342010121231040
635225533341051044
72214306363510622
oct240157025447604
942875706217201
1011010020102020
113565361353965
121299995556a84
1361b31832c1c4
142a0c6024c512
151415e11d859a
hexa0378564f84

11010020102020 has 96 divisors (see below), whose sum is σ = 24180551783136. Its totient is φ = 4207996416000.

The previous prime is 11010020101999. The next prime is 11010020102051. The reversal of 11010020102020 is 2020102001011.

It can be written as a sum of positive squares in 16 ways, for example, as 2896831232064 + 8113188869956 = 1702008^2 + 2848366^2 .

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 = 11010020101988 and 11010020102006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5687712 + ... + 7373608.

It is an arithmetic number, because the mean of its divisors is an integer number (251880747741).

Almost surely, 211010020102020 is an apocalyptic number.

11010020102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010020102020 is an abundant number, since it is smaller than the sum of its proper divisors (13170531681116).

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

11010020102020 is a wasteful number, since it uses less digits than its factorization.

11010020102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686121 (or 1686119 counting only the distinct ones).

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

Adding to 11010020102020 its reverse (2020102001011), we get a palindrome (13030122103031).

The spelling of 11010020102020 in words is "eleven trillion, ten billion, twenty million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 61 101 106 122 202 212 244 265 305 404 505 530 610 1010 1060 1220 2020 3233 5353 6161 6466 10706 12322 12932 16165 21412 24644 26765 30805 32330 53530 61610 64660 107060 123220 326533 653066 1306132 1632665 1685897 3265330 3371794 6530660 6743588 8429485 16858970 33717940 89352541 102839717 170275597 178705082 205679434 340551194 357410164 411358868 446762705 514198585 681102388 851377985 893525410 1028397170 1702755970 1787050820 2056794340 3405511940 5450505001 9024606641 10386811417 10901010002 18049213282 20773622834 21802020004 27252525005 36098426564 41547245668 45123033205 51934057085 54505050010 90246066410 103868114170 109010100020 180492132820 207736228340 550501005101 1101002010202 2202004020404 2752505025505 5505010051010 11010020102020