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331213249 is a prime number
BaseRepresentation
bin10011101111011…
…110100111000001
3212002020101011101
4103233132213001
51134242310444
652511014401
711131160203
oct2357364701
9762211141
10331213249
1115aa63464
1292b0a401
1353809093
1431dba773
151e1273d4
hex13bde9c1

331213249 has 2 divisors, whose sum is σ = 331213250. Its totient is φ = 331213248.

The previous prime is 331213237. The next prime is 331213297. The reversal of 331213249 is 942312133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 272415025 + 58798224 = 16505^2 + 7668^2 .

It is a cyclic number.

It is not a de Polignac number, because 331213249 - 25 = 331213217 is a prime.

It is not a weakly prime, because it can be changed into another prime (331213549) 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, 165606624 + 165606625.

It is an arithmetic number, because the mean of its divisors is an integer number (165606625).

Almost surely, 2331213249 is an apocalyptic number.

It is an amenable number.

331213249 is a deficient number, since it is larger than the sum of its proper divisors (1).

331213249 is an equidigital number, since it uses as much as digits as its factorization.

331213249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 28.

The square root of 331213249 is about 18199.2650675790. The cubic root of 331213249 is about 691.8881624257. Note that the first 3 decimals are identical.

It can be divided in two parts, 3312 and 13249, that added together give a palindrome (16561).

The spelling of 331213249 in words is "three hundred thirty-one million, two hundred thirteen thousand, two hundred forty-nine".