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331144097 is a prime number
BaseRepresentation
bin10011101111001…
…101101110100001
3212002002212022012
4103233031232201
51134233102342
652505322305
711130451454
oct2357155641
9762085265
10331144097
1115aa16509
1292a96395
13537b376b
1431d9d49b
151e111b82
hex13bcdba1

331144097 has 2 divisors, whose sum is σ = 331144098. Its totient is φ = 331144096.

The previous prime is 331144081. The next prime is 331144123. The reversal of 331144097 is 790441133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 327754816 + 3389281 = 18104^2 + 1841^2 .

It is an emirp because it is prime and its reverse (790441133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331144097 - 24 = 331144081 is a prime.

It is not a weakly prime, because it can be changed into another prime (331144067) 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, 165572048 + 165572049.

It is an arithmetic number, because the mean of its divisors is an integer number (165572049).

Almost surely, 2331144097 is an apocalyptic number.

It is an amenable number.

331144097 is a deficient number, since it is larger than the sum of its proper divisors (1).

331144097 is an equidigital number, since it uses as much as digits as its factorization.

331144097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 331144097 is about 18197.3651114660. The cubic root of 331144097 is about 691.8400073670.

The spelling of 331144097 in words is "three hundred thirty-one million, one hundred forty-four thousand, ninety-seven".