Search a number
-
+
1135345110533 is a prime number
BaseRepresentation
bin10000100001010111110…
…101111000111000000101
311000112112011010102022122
4100201113311320320011
5122100141322014113
62225323105535325
7145011624132014
oct20412765707005
94015464112278
101135345110533
113a8551797747
12164054944545
13830a766276a
143cd4576aa7b
151e7ed9a1408
hex10857d78e05

1135345110533 has 2 divisors, whose sum is σ = 1135345110534. Its totient is φ = 1135345110532.

The previous prime is 1135345110443. The next prime is 1135345110563. The reversal of 1135345110533 is 3350115435311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1119698352964 + 15646757569 = 1058158^2 + 125087^2 .

It is a cyclic number.

It is not a de Polignac number, because 1135345110533 - 216 = 1135345044997 is a prime.

It is a super-2 number, since 2×11353451105332 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1135345110493 and 1135345110502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1135345110563) 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, 567672555266 + 567672555267.

It is an arithmetic number, because the mean of its divisors is an integer number (567672555267).

Almost surely, 21135345110533 is an apocalyptic number.

It is an amenable number.

1135345110533 is a deficient number, since it is larger than the sum of its proper divisors (1).

1135345110533 is an equidigital number, since it uses as much as digits as its factorization.

1135345110533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40500, while the sum is 35.

The spelling of 1135345110533 in words is "one trillion, one hundred thirty-five billion, three hundred forty-five million, one hundred ten thousand, five hundred thirty-three".