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14661123133 is a prime number
BaseRepresentation
bin11011010011101111…
…01111110000111101
31101211202111020000111
431221313233300331
5220011221420013
610422450430021
71026213330136
oct155167576075
941752436014
1014661123133
116243904898
122a11b92311
1314c85889b7
149d1210c8d
155ac1c673d
hex369defc3d

14661123133 has 2 divisors, whose sum is σ = 14661123134. Its totient is φ = 14661123132.

The previous prime is 14661123131. The next prime is 14661123143. The reversal of 14661123133 is 33132116641.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13576211289 + 1084911844 = 116517^2 + 32938^2 .

It is a cyclic number.

It is not a de Polignac number, because 14661123133 - 21 = 14661123131 is a prime.

Together with 14661123131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 14661123095 and 14661123104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14661123131) 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, 7330561566 + 7330561567.

It is an arithmetic number, because the mean of its divisors is an integer number (7330561567).

Almost surely, 214661123133 is an apocalyptic number.

It is an amenable number.

14661123133 is a deficient number, since it is larger than the sum of its proper divisors (1).

14661123133 is an equidigital number, since it uses as much as digits as its factorization.

14661123133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 31.

Adding to 14661123133 its reverse (33132116641), we get a palindrome (47793239774).

It can be divided in two parts, 146611 and 23133, that added together give a square (169744 = 4122).

The spelling of 14661123133 in words is "fourteen billion, six hundred sixty-one million, one hundred twenty-three thousand, one hundred thirty-three".