Search a number
-
+
10230311331133 is a prime number
BaseRepresentation
bin1001010011011110111000…
…0100101010010100111101
31100020000012222122002201121
42110313232010222110331
52320103134200044013
633431423512110541
72104054436352145
oct224675604522475
940200188562647
1010230311331133
113294718051a03
121192852695451
135929391a6c9a
14275214b3b925
1512b1a94dc58d
hex94dee12a53d

10230311331133 has 2 divisors, whose sum is σ = 10230311331134. Its totient is φ = 10230311331132.

The previous prime is 10230311331073. The next prime is 10230311331161. The reversal of 10230311331133 is 33113311303201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9707729812729 + 522581518404 = 3115723^2 + 722898^2 .

It is an emirp because it is prime and its reverse (33113311303201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10230311331133 - 217 = 10230311200061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10230311331098 and 10230311331107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10230311332133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5115155665566 + 5115155665567.

It is an arithmetic number, because the mean of its divisors is an integer number (5115155665567).

Almost surely, 210230311331133 is an apocalyptic number.

It is an amenable number.

10230311331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10230311331133 is an equidigital number, since it uses as much as digits as its factorization.

10230311331133 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 25.

Adding to 10230311331133 its reverse (33113311303201), we get a palindrome (43343622634334).

The spelling of 10230311331133 in words is "ten trillion, two hundred thirty billion, three hundred eleven million, three hundred thirty-one thousand, one hundred thirty-three".