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1223131331 is a prime number
BaseRepresentation
bin100100011100111…
…1000000011000011
310011020112111202102
41020321320003003
510001110200311
6321211541015
742211305362
oct11071700303
93136474672
101223131331
11578475744
122a175a76b
13166532c66
14b86317d9
15725a943b
hex48e780c3

1223131331 has 2 divisors, whose sum is σ = 1223131332. Its totient is φ = 1223131330.

The previous prime is 1223131321. The next prime is 1223131333. The reversal of 1223131331 is 1331313221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1223131331 - 214 = 1223114947 is a prime.

It is a super-2 number, since 2×12231313312 = 2992100505747663122, which contains 22 as substring.

Together with 1223131333, 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 (1223131333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611565665 + 611565666.

It is an arithmetic number, because the mean of its divisors is an integer number (611565666).

Almost surely, 21223131331 is an apocalyptic number.

1223131331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223131331 is an equidigital number, since it uses as much as digits as its factorization.

1223131331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 20.

The square root of 1223131331 is about 34973.2945402631. The cubic root of 1223131331 is about 1069.4431349917.

Adding to 1223131331 its reverse (1331313221), we get a palindrome (2554444552).

The spelling of 1223131331 in words is "one billion, two hundred twenty-three million, one hundred thirty-one thousand, three hundred thirty-one".