Base | Representation |
---|---|
bin | 10010101010101110… |
… | …01101001100110001 |
3 | 221212110022111000101 |
4 | 21111113031030301 |
5 | 131011123100304 |
6 | 4334251552401 |
7 | 503233200001 |
oct | 112527151461 |
9 | 27773274011 |
10 | 10022081329 |
11 | 4283227047 |
12 | 1b3845b701 |
13 | c3944c050 |
14 | 6b1070001 |
15 | 3d9cc08a4 |
hex | 2555cd331 |
10022081329 has 8 divisors (see below), whose sum is σ = 10806563880. Its totient is φ = 9239534976.
The previous prime is 10022081327. The next prime is 10022081347. The reversal of 10022081329 is 92318022001.
10022081329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 2287230625 + 7734850704 = 47825^2 + 87948^2 .
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is not a de Polignac number, because 10022081329 - 21 = 10022081327 is a prime.
It is a super-2 number, since 2×100220813292 (a number of 21 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 = 10022081297 and 10022081306.
It is not an unprimeable number, because it can be changed into a prime (10022081327) 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 7 ways as a sum of consecutive naturals, for example, 473284 + ... + 494005.
It is an arithmetic number, because the mean of its divisors is an integer number (1350820485).
Almost surely, 210022081329 is an apocalyptic number.
It is an amenable number.
10022081329 is a deficient number, since it is larger than the sum of its proper divisors (784482551).
10022081329 is an equidigital number, since it uses as much as digits as its factorization.
10022081329 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 968099.
The product of its (nonzero) digits is 1728, while the sum is 28.
The spelling of 10022081329 in words is "ten billion, twenty-two million, eighty-one thousand, three hundred twenty-nine".
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