Search a number
-
+
123313081 is a prime number
BaseRepresentation
bin1110101100110…
…01101110111001
322121000221202011
413112121232321
5223032004311
620123005521
73025100233
oct726315671
9277027664
10123313081
1163674a41
12353698a1
131c716c28
141253d253
15ac5c321
hex7599bb9

123313081 has 2 divisors, whose sum is σ = 123313082. Its totient is φ = 123313080.

The previous prime is 123313079. The next prime is 123313109. The reversal of 123313081 is 180313321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72675625 + 50637456 = 8525^2 + 7116^2 .

It is a cyclic number.

It is not a de Polignac number, because 123313081 - 21 = 123313079 is a prime.

It is a super-2 number, since 2×1233130812 = 30412231891425122, which contains 22 as substring.

Together with 123313079, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (123313061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656540 + 61656541.

It is an arithmetic number, because the mean of its divisors is an integer number (61656541).

Almost surely, 2123313081 is an apocalyptic number.

It is an amenable number.

123313081 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313081 is an equidigital number, since it uses as much as digits as its factorization.

123313081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 123313081 is about 11104.6423175175. The cubic root of 123313081 is about 497.7405800891.

The spelling of 123313081 in words is "one hundred twenty-three million, three hundred thirteen thousand, eighty-one".