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330505131 = 31110793601
BaseRepresentation
bin10011101100110…
…001101110101011
3212000220101210210
4103230301232223
51134102131011
652443512203
711122150545
oct2354615653
9760811723
10330505131
1115a61a440
1292828663
135361b988
1431c74695
151e0376a6
hex13b31bab

330505131 has 16 divisors (see below), whose sum is σ = 485232768. Its totient is φ = 198432000.

The previous prime is 330505121. The next prime is 330505139. The reversal of 330505131 is 131505033.

It is a happy number.

It is not a de Polignac number, because 330505131 - 25 = 330505099 is a prime.

It is a super-2 number, since 2×3305051312 = 218467283234654322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330505098 and 330505107.

It is not an unprimeable number, because it can be changed into a prime (330505139) 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 15 ways as a sum of consecutive naturals, for example, 43270 + ... + 50331.

It is an arithmetic number, because the mean of its divisors is an integer number (30327048).

Almost surely, 2330505131 is an apocalyptic number.

330505131 is a deficient number, since it is larger than the sum of its proper divisors (154727637).

330505131 is a wasteful number, since it uses less digits than its factorization.

330505131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93722.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 330505131 is about 18179.8000814090. The cubic root of 330505131 is about 691.3947360773.

The spelling of 330505131 in words is "three hundred thirty million, five hundred five thousand, one hundred thirty-one".

Divisors: 1 3 11 33 107 321 1177 3531 93601 280803 1029611 3088833 10015307 30045921 110168377 330505131