Search a number
-
+
1333123144229 is a prime number
BaseRepresentation
bin10011011001100100010…
…101001101101000100101
311201110000122101112001202
4103121210111031220211
5133320214011103404
62500232303332245
7165213014521112
oct23314425155045
94643018345052
101333123144229
11474413295758
121964502b1085
139893652bb76
14487486d3909
1524a26d1a21e
hex1366454da25

1333123144229 has 2 divisors, whose sum is σ = 1333123144230. Its totient is φ = 1333123144228.

The previous prime is 1333123144079. The next prime is 1333123144231. The reversal of 1333123144229 is 9224413213331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1077215652100 + 255907492129 = 1037890^2 + 505873^2 .

It is a cyclic number.

It is not a de Polignac number, because 1333123144229 - 212 = 1333123140133 is a prime.

Together with 1333123144231, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1333123144192 and 1333123144201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1333123147229) 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 as a sum of consecutive naturals, namely, 666561572114 + 666561572115.

It is an arithmetic number, because the mean of its divisors is an integer number (666561572115).

Almost surely, 21333123144229 is an apocalyptic number.

It is an amenable number.

1333123144229 is a deficient number, since it is larger than the sum of its proper divisors (1).

1333123144229 is an equidigital number, since it uses as much as digits as its factorization.

1333123144229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 38.

The spelling of 1333123144229 in words is "one trillion, three hundred thirty-three billion, one hundred twenty-three million, one hundred forty-four thousand, two hundred twenty-nine".