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20110330441 = 53289257313
BaseRepresentation
bin10010101110101010…
…110100101001001001
31220220112010122011101
4102232222310221021
5312141221033231
613123310101401
71311231662665
oct225652645111
956815118141
1020110330441
11858a836a03
123a92aaa861
131b864c7516
14d8ac058a5
157ca7b1661
hex4aeab4a49

20110330441 has 24 divisors (see below), whose sum is σ = 20874362040. Its totient is φ = 19371196416.

The previous prime is 20110330433. The next prime is 20110330469. The reversal of 20110330441 is 14403301102.

It can be written as a sum of positive squares in 12 ways, for example, as 2393655625 + 17716674816 = 48925^2 + 133104^2 .

It is not a de Polignac number, because 20110330441 - 23 = 20110330433 is a prime.

It is a super-2 number, since 2×201103304412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20110330411) 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 23 ways as a sum of consecutive naturals, for example, 64250101 + ... + 64250413.

It is an arithmetic number, because the mean of its divisors is an integer number (869765085).

Almost surely, 220110330441 is an apocalyptic number.

It is an amenable number.

20110330441 is a deficient number, since it is larger than the sum of its proper divisors (764031599).

20110330441 is an equidigital number, since it uses as much as digits as its factorization.

20110330441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20110330441 its reverse (14403301102), we get a palindrome (34513631543).

The spelling of 20110330441 in words is "twenty billion, one hundred ten million, three hundred thirty thousand, four hundred forty-one".

Divisors: 1 53 89 257 313 2809 4717 13621 16589 22873 27857 80441 250001 721913 879217 1212269 1476421 4263373 7159249 64250257 78250313 225958769 379440197 20110330441