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10543013 = 131137177
BaseRepresentation
bin101000001101…
…111110100101
3201211122021222
4220031332211
510144334023
61013550125
7155420435
oct50157645
921748258
1010543013
115a51138
123645345
132251a90
1415862c5
15dd3cc8
hexa0dfa5

10543013 has 8 divisors (see below), whose sum is σ = 11456088. Its totient is φ = 9644544.

The previous prime is 10542997. The next prime is 10543033. The reversal of 10543013 is 31034501.

It can be written as a sum of positive squares in 4 ways, for example, as 187489 + 10355524 = 433^2 + 3218^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10543013 - 24 = 10542997 is a prime.

It is a super-2 number, since 2×105430132 = 222310246236338, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10542982 and 10543000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10543033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2120 + ... + 5057.

It is an arithmetic number, because the mean of its divisors is an integer number (1432011).

Almost surely, 210543013 is an apocalyptic number.

10543013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10543013 is a deficient number, since it is larger than the sum of its proper divisors (913075).

10543013 is a wasteful number, since it uses less digits than its factorization.

10543013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7303.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 10543013 is about 3247.0006159531. Note that the first 3 decimals coincide. The cubic root of 10543013 is about 219.2745595568.

Adding to 10543013 its reverse (31034501), we get a palindrome (41577514).

The spelling of 10543013 in words is "ten million, five hundred forty-three thousand, thirteen".

Divisors: 1 13 113 1469 7177 93301 811001 10543013