Search a number
-
+
10333231133 is a prime number
BaseRepresentation
bin10011001111110100…
…01001100000011101
3222200010210112022012
421213322021200131
5132130301344013
64425205001005
7514032005201
oct114772114035
928603715265
1010333231133
114422926545
1220046b3165
13c88a51b64
14700506b01
154072831a8
hex267e8981d

10333231133 has 2 divisors, whose sum is σ = 10333231134. Its totient is φ = 10333231132.

The previous prime is 10333231127. The next prime is 10333231211. The reversal of 10333231133 is 33113233301.

10333231133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10330283044 + 2948089 = 101638^2 + 1717^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10333231133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10333231099 and 10333231108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10333231033) 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 as a sum of consecutive naturals, namely, 5166615566 + 5166615567.

It is an arithmetic number, because the mean of its divisors is an integer number (5166615567).

Almost surely, 210333231133 is an apocalyptic number.

It is an amenable number.

10333231133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10333231133 is an equidigital number, since it uses as much as digits as its factorization.

10333231133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 10333231133 its reverse (33113233301), we get a palindrome (43446464434).

The spelling of 10333231133 in words is "ten billion, three hundred thirty-three million, two hundred thirty-one thousand, one hundred thirty-three".