Search a number
-
+
1827133113067 is a prime number
BaseRepresentation
bin11010100101101001100…
…111101100001011101011
320110200011001022010022021
4122211221213230023223
5214413432034104232
63515212351405311
7246002030131663
oct32455147541353
96420131263267
101827133113067
11644979011079
1225613b223837
131033b46914b2
14646101811a3
15327dbb34397
hex1a9699ec2eb

1827133113067 has 2 divisors, whose sum is σ = 1827133113068. Its totient is φ = 1827133113066.

The previous prime is 1827133113041. The next prime is 1827133113079. The reversal of 1827133113067 is 7603113317281.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1827133113067 - 211 = 1827133111019 is a prime.

It is a super-2 number, since 2×18271331130672 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1827133113007) 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, 913566556533 + 913566556534.

It is an arithmetic number, because the mean of its divisors is an integer number (913566556534).

Almost surely, 21827133113067 is an apocalyptic number.

1827133113067 is a deficient number, since it is larger than the sum of its proper divisors (1).

1827133113067 is an equidigital number, since it uses as much as digits as its factorization.

1827133113067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 1827133113067 in words is "one trillion, eight hundred twenty-seven billion, one hundred thirty-three million, one hundred thirteen thousand, sixty-seven".