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33020031 = 3111019907
BaseRepresentation
bin111110111110…
…1100001111111
32022010120222010
41331331201333
531423120111
63135422303
7550444212
oct175754177
968116863
1033020031
1117703490
12b084993
136ac17a5
144557779
152d73aa6
hex1f7d87f

33020031 has 16 divisors (see below), whose sum is σ = 48509568. Its totient is φ = 19812000.

The previous prime is 33019997. The next prime is 33020089. The reversal of 33020031 is 13002033.

It is a happy number.

It is not a de Polignac number, because 33020031 - 211 = 33017983 is a prime.

It is a super-2 number, since 2×330200312 = 2180644894481922, which contains 22 as substring.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 33019989 and 33020016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33020231) 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 15 ways as a sum of consecutive naturals, for example, 1621 + ... + 8286.

It is an arithmetic number, because the mean of its divisors is an integer number (3031848).

Almost surely, 233020031 is an apocalyptic number.

33020031 is a deficient number, since it is larger than the sum of its proper divisors (15489537).

33020031 is a wasteful number, since it uses less digits than its factorization.

33020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10022.

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

The square root of 33020031 is about 5746.3058568092. The cubic root of 33020031 is about 320.8183189840.

Adding to 33020031 its reverse (13002033), we get a palindrome (46022064).

The spelling of 33020031 in words is "thirty-three million, twenty thousand, thirty-one".

Divisors: 1 3 11 33 101 303 1111 3333 9907 29721 108977 326931 1000607 3001821 11006677 33020031