Search a number
-
+
10333033131 = 3192115771489
BaseRepresentation
bin10011001111110010…
…11001001010101011
3222200010102110200210
421213321121022223
5132130224030011
64425200432203
7514030222011
oct114771311253
928603373623
1010333033131
114422800803
122004618663
13c889b29b5
147004948b1
154072446a6
hex267e592ab

10333033131 has 32 divisors (see below), whose sum is σ = 14606291200. Its totient is φ = 6479585280.

The previous prime is 10333033111. The next prime is 10333033141. The reversal of 10333033131 is 13133033301.

It is not a de Polignac number, because 10333033131 - 25 = 10333033099 is a prime.

It is a super-2 number, since 2×103330331312 (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 = 10333033098 and 10333033107.

It is not an unprimeable number, because it can be changed into a prime (10333033111) 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, 6938835 + ... + 6940323.

It is an arithmetic number, because the mean of its divisors is an integer number (456446600).

Almost surely, 210333033131 is an apocalyptic number.

10333033131 is a deficient number, since it is larger than the sum of its proper divisors (4273258069).

10333033131 is a wasteful number, since it uses less digits than its factorization.

10333033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 10333033131 its reverse (13133033301), we get a palindrome (23466066432).

The spelling of 10333033131 in words is "ten billion, three hundred thirty-three million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 19 57 211 577 633 1489 1731 4009 4467 10963 12027 28291 32889 84873 121747 314179 365241 859153 942537 2313193 2577459 5969401 6939579 16323907 17908203 48971721 181281283 543843849 3444344377 10333033131