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20102210301123 = 336773152223739
BaseRepresentation
bin1001001001000011010010…
…00110101010110011000011
32122011202022121011210001000
410210201221012222303003
510113323311314113443
6110430454455343043
74143223340161656
oct444415106526303
978152277153030
1020102210301123
116450332719085
122307b39681a83
13b2a8269c0762
144d6d48a7b89d
1524cd881748d3
hex1248691aacc3

20102210301123 has 32 divisors (see below), whose sum is σ = 30639594387200. Its totient is φ = 13020609653568.

The previous prime is 20102210301119. The next prime is 20102210301163. The reversal of 20102210301123 is 32110301220102.

20102210301123 is a `hidden beast` number, since 20 + 1 + 0 + 221 + 0 + 301 + 123 = 666.

It is not a de Polignac number, because 20102210301123 - 22 = 20102210301119 is a prime.

It is a super-2 number, since 2×201022103011232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20102210301096 and 20102210301105.

It is not an unprimeable number, because it can be changed into a prime (20102210301163) by changing a digit.

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, 75979813 + ... + 76243926.

It is an arithmetic number, because the mean of its divisors is an integer number (957487324600).

Almost surely, 220102210301123 is an apocalyptic number.

20102210301123 is a deficient number, since it is larger than the sum of its proper divisors (10537384086077).

20102210301123 is a wasteful number, since it uses less digits than its factorization.

20102210301123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152223888 (or 152223882 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20102210301123 its reverse (32110301220102), we get a palindrome (52212511521225).

The spelling of 20102210301123 in words is "twenty trillion, one hundred two billion, two hundred ten million, three hundred one thousand, one hundred twenty-three".

Divisors: 1 3 9 27 67 73 201 219 603 657 1809 1971 4891 14673 44019 132057 152223739 456671217 1370013651 4110040953 10198990513 11112332947 30596971539 33336998841 91790914617 100010996523 275372743851 300032989569 744526307449 2233578922347 6700736767041 20102210301123