Search a number
-
+
165783511331 is a prime number
BaseRepresentation
bin1001101001100101110…
…1111010000100100011
3120211220201220222001022
42122121131322010203
510204011034330311
6204054312000055
714656161411164
oct2323135720443
9524821828038
10165783511331
1164343519899
122816869002b
1312830527289
148049a8b76b
1544a45b05db
hex269977a123

165783511331 has 2 divisors, whose sum is σ = 165783511332. Its totient is φ = 165783511330.

The previous prime is 165783511321. The next prime is 165783511367. The reversal of 165783511331 is 133115387561.

It is a happy number.

165783511331 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-165783511331 is a prime.

It is a super-2 number, since 2×1657835113312 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (165783511321) 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, 82891755665 + 82891755666.

It is an arithmetic number, because the mean of its divisors is an integer number (82891755666).

Almost surely, 2165783511331 is an apocalyptic number.

165783511331 is a deficient number, since it is larger than the sum of its proper divisors (1).

165783511331 is an equidigital number, since it uses as much as digits as its factorization.

165783511331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 226800, while the sum is 44.

Adding to 165783511331 its reverse (133115387561), we get a palindrome (298898898892).

The spelling of 165783511331 in words is "one hundred sixty-five billion, seven hundred eighty-three million, five hundred eleven thousand, three hundred thirty-one".