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331314201 = 3236812689
BaseRepresentation
bin10011101111110…
…111010000011001
3212002102111122100
4103233313100121
51134304023301
652513114013
711132060421
oct2357672031
9762374570
10331314201
11160022299
1292b58909
135384300a
1432005481
151e147286
hex13bf7419

331314201 has 6 divisors (see below), whose sum is σ = 478564970. Its totient is φ = 220876128.

The previous prime is 331314167. The next prime is 331314211. The reversal of 331314201 is 102413133.

331314201 is a `hidden beast` number, since 331 + 314 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 325838601 + 5475600 = 18051^2 + 2340^2 .

It is not a de Polignac number, because 331314201 - 213 = 331306009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331314211) 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 in 5 ways as a sum of consecutive naturals, for example, 18406336 + ... + 18406353.

Almost surely, 2331314201 is an apocalyptic number.

It is an amenable number.

331314201 is a deficient number, since it is larger than the sum of its proper divisors (147250769).

331314201 is a wasteful number, since it uses less digits than its factorization.

331314201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36812695 (or 36812692 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 331314201 is about 18202.0383748634. The cubic root of 331314201 is about 691.9584498703.

Adding to 331314201 its reverse (102413133), we get a palindrome (433727334).

The spelling of 331314201 in words is "three hundred thirty-one million, three hundred fourteen thousand, two hundred one".

Divisors: 1 3 9 36812689 110438067 331314201