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249009331 is a prime number
BaseRepresentation
bin11101101011110…
…01010010110011
3122100112222120211
432311321102303
51002221244311
640413044551
76112354504
oct1665712263
9570488524
10249009331
1111861743a
126b486757
133c7867cc
14250dcbab
1516cda821
hexed794b3

249009331 has 2 divisors, whose sum is σ = 249009332. Its totient is φ = 249009330.

The previous prime is 249009311. The next prime is 249009367. The reversal of 249009331 is 133900942.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 249009331 - 27 = 249009203 is a prime.

It is a super-2 number, since 2×2490093312 = 124011293850135122, which contains 22 as substring.

It is equal to p13628065 and since 249009331 and 13628065 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 249009293 and 249009302.

It is not a weakly prime, because it can be changed into another prime (249009311) 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, 124504665 + 124504666.

It is an arithmetic number, because the mean of its divisors is an integer number (124504666).

Almost surely, 2249009331 is an apocalyptic number.

249009331 is a deficient number, since it is larger than the sum of its proper divisors (1).

249009331 is an equidigital number, since it uses as much as digits as its factorization.

249009331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 249009331 is about 15780.0294993387. The cubic root of 249009331 is about 629.1273135764.

The spelling of 249009331 in words is "two hundred forty-nine million, nine thousand, three hundred thirty-one".