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330020031 = 311172325577
BaseRepresentation
bin10011101010111…
…011010010111111
3211222222202101010
4103222323102333
51133441120111
652425250303
711115060345
oct2352732277
9758882333
10330020031
1115a318a30
1292633993
13534abc33
1431b89995
151de8daa6
hex13abb4bf

330020031 has 32 divisors (see below), whose sum is σ = 530385408. Its totient is φ = 180055040.

The previous prime is 330020011. The next prime is 330020039. The reversal of 330020031 is 130020033.

It is a happy number.

It is not a de Polignac number, because 330020031 - 211 = 330017983 is a prime.

It is a super-2 number, since 2×3300200312 = 217826441722481922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330019989 and 330020016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330020039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115 + ... + 25691.

It is an arithmetic number, because the mean of its divisors is an integer number (16574544).

Almost surely, 2330020031 is an apocalyptic number.

330020031 is a deficient number, since it is larger than the sum of its proper divisors (200365377).

330020031 is a wasteful number, since it uses less digits than its factorization.

330020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25631.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 330020031 is about 18166.4534513482. The cubic root of 330020031 is about 691.0563048079.

Adding to 330020031 its reverse (130020033), we get a palindrome (460040064).

The spelling of 330020031 in words is "three hundred thirty million, twenty thousand, thirty-one".

Divisors: 1 3 11 17 23 33 51 69 187 253 391 561 759 1173 4301 12903 25577 76731 281347 434809 588271 844041 1304427 1764813 4782899 6470981 10000607 14348697 19412943 30001821 110006677 330020031