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249306331 is a prime number
BaseRepresentation
bin11101101110000…
…01110011011011
3122101010001222211
432313001303123
51002310300311
640423255551
76115032421
oct1667016333
9571101884
10249306331
111187aa59a
126b5aa5b7
133c85ba51
1425179111
1516d48821
hexedc1cdb

249306331 has 2 divisors, whose sum is σ = 249306332. Its totient is φ = 249306330.

The previous prime is 249306319. The next prime is 249306341. The reversal of 249306331 is 133603942.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 249306331 - 27 = 249306203 is a prime.

It is a super-2 number, since 2×2493063312 = 124307293353363122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 249306293 and 249306302.

It is not a weakly prime, because it can be changed into another prime (249306341) 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, 124653165 + 124653166.

It is an arithmetic number, because the mean of its divisors is an integer number (124653166).

Almost surely, 2249306331 is an apocalyptic number.

249306331 is a deficient number, since it is larger than the sum of its proper divisors (1).

249306331 is an equidigital number, since it uses as much as digits as its factorization.

249306331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 249306331 is about 15789.4373237301. The cubic root of 249306331 is about 629.3773397813.

The spelling of 249306331 in words is "two hundred forty-nine million, three hundred six thousand, three hundred thirty-one".