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20330013 = 3114314327
BaseRepresentation
bin100110110001…
…1011000011101
31102020212112110
41031203120131
520201030023
62003424233
7334542114
oct115433035
942225473
1020330013
1110526270
126985079
13429a6c2
1429b2c7b
151bb8a93
hex136361d

20330013 has 16 divisors (see below), whose sum is σ = 30260736. Its totient is φ = 12033840.

The previous prime is 20329993. The next prime is 20330047. The reversal of 20330013 is 31003302.

It is a happy number.

It is not a de Polignac number, because 20330013 - 216 = 20264477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330083) 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 15 ways as a sum of consecutive naturals, for example, 5745 + ... + 8582.

It is an arithmetic number, because the mean of its divisors is an integer number (1891296).

Almost surely, 220330013 is an apocalyptic number.

It is an amenable number.

20330013 is a deficient number, since it is larger than the sum of its proper divisors (9930723).

20330013 is a wasteful number, since it uses less digits than its factorization.

20330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14384.

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

The square root of 20330013 is about 4508.8815686376. The cubic root of 20330013 is about 272.9266128600.

Adding to 20330013 its reverse (31003302), we get a palindrome (51333315).

Subtracting 20330013 from its reverse (31003302), we obtain a square (10673289 = 32672).

It can be divided in two parts, 20 and 330013, that added together give a palindrome (330033).

The spelling of 20330013 in words is "twenty million, three hundred thirty thousand, thirteen".

Divisors: 1 3 11 33 43 129 473 1419 14327 42981 157597 472791 616061 1848183 6776671 20330013