Search a number
-
+
10331003033 = 131009378737
BaseRepresentation
bin10011001111100011…
…01001100010011001
3222122222121022220222
421213301221202121
5132124214044113
64425045125425
7514004035241
oct114761514231
928588538828
1010331003033
11442164453a
1220039b9875
13c88451960
147000c6b21
15406e92e08
hex267c69899

10331003033 has 8 divisors (see below), whose sum is σ = 11126939208. Its totient is φ = 9535244544.

The previous prime is 10331003029. The next prime is 10331003047. The reversal of 10331003033 is 33030013301.

10331003033 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 27331984 + 10303671049 = 5228^2 + 101507^2 .

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 10331003033 - 22 = 10331003029 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10331003833) 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, 91841 + ... + 170577.

It is an arithmetic number, because the mean of its divisors is an integer number (1390867401).

Almost surely, 210331003033 is an apocalyptic number.

10331003033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10331003033 is a deficient number, since it is larger than the sum of its proper divisors (795936175).

10331003033 is a wasteful number, since it uses less digits than its factorization.

10331003033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88843.

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 10331003033 its reverse (33030013301), we get a palindrome (43361016334).

The spelling of 10331003033 in words is "ten billion, three hundred thirty-one million, three thousand, thirty-three".

Divisors: 1 13 10093 78737 131209 1023581 794692541 10331003033