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10220121322020 = 22325101562162889
BaseRepresentation
bin1001010010111000111010…
…1100110111001000100100
31100012000220211100000002200
42110232032230313020210
52314421302024301040
633423020420534500
72103244063613601
oct224561654671044
940160824300080
1010220121322020
113290369059275
121190889b51430
135919a401cbac
142749296776a8
1512acaeaea630
hex94b8eb37224

10220121322020 has 72 divisors (see below), whose sum is σ = 31307975669880. Its totient is φ = 2698381862400.

The previous prime is 10220121322007. The next prime is 10220121322031. The reversal of 10220121322020 is 2022312102201.

10220121322020 is a `hidden beast` number, since 1 + 0 + 220 + 121 + 322 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4756420770084 + 5463700551936 = 2180922^2 + 2337456^2 .

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 = 10220121321984 and 10220121322002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281063265 + ... + 281099624.

It is an arithmetic number, because the mean of its divisors is an integer number (434832995415).

Almost surely, 210220121322020 is an apocalyptic number.

10220121322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220121322020 is an abundant number, since it is smaller than the sum of its proper divisors (21087854347860).

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

10220121322020 is a wasteful number, since it uses less digits than its factorization.

10220121322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562163005 (or 562163000 counting only the distinct ones).

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

Adding to 10220121322020 its reverse (2022312102201), we get a palindrome (12242433424221).

The spelling of 10220121322020 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 562162889 1124325778 1686488667 2248651556 2810814445 3372977334 5059466001 5621628890 6745954668 8432443335 10118932002 11243257780 16864886670 20237864004 25297330005 33729773340 50594660010 56778451789 101189320020 113556903578 170335355367 227113807156 283892258945 340670710734 511006066101 567784517890 681341421468 851676776835 1022012132202 1135569035780 1703353553670 2044024264404 2555030330505 3406707107340 5110060661010 10220121322020