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3330331313 = 4193786689
BaseRepresentation
bin1100011010000000…
…1101001010110001
322121002121100201012
43012200031022301
523310031100223
61310244320305
7145346230511
oct30640151261
98532540635
103330331313
111459981231
1278b3a3095
13410c7205a
14238433841
15147594c78
hexc680d2b1

3330331313 has 8 divisors (see below), whose sum is σ = 3415239240. Its totient is φ = 3245598720.

The previous prime is 3330331273. The next prime is 3330331327. The reversal of 3330331313 is 3131330333.

It can be written as a sum of positive squares in 4 ways, for example, as 582160384 + 2748170929 = 24128^2 + 52423^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3330331313 is a prime.

It is a super-2 number, since 2×33303313132 = 22182213308696607938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3330331363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4928 + ... + 81761.

It is an arithmetic number, because the mean of its divisors is an integer number (426904905).

Almost surely, 23330331313 is an apocalyptic number.

It is an amenable number.

3330331313 is a deficient number, since it is larger than the sum of its proper divisors (84907927).

3330331313 is an equidigital number, since it uses as much as digits as its factorization.

3330331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87667.

The product of its (nonzero) digits is 2187, while the sum is 23.

The square root of 3330331313 is about 57709.0228040642. The cubic root of 3330331313 is about 1493.3530052227.

Adding to 3330331313 its reverse (3131330333), we get a palindrome (6461661646).

The spelling of 3330331313 in words is "three billion, three hundred thirty million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 41 937 38417 86689 3554249 81227593 3330331313