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20130363 = 351117443
BaseRepresentation
bin100110011001…
…0101000111011
31101212201200000
41030302220323
520123132423
61555244043
7333051051
oct114625073
941781600
1020130363
11103aa270
1268a9623
13422a876
1429601d1
151b79843
hex1332a3b

20130363 has 48 divisors (see below), whose sum is σ = 34909056. Its totient is φ = 11456640.

The previous prime is 20130349. The next prime is 20130371. The reversal of 20130363 is 36303102.

It is a happy number.

It is not a de Polignac number, because 20130363 - 210 = 20129339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20130343) 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 47 ways as a sum of consecutive naturals, for example, 45220 + ... + 45662.

It is an arithmetic number, because the mean of its divisors is an integer number (727272).

Almost surely, 220130363 is an apocalyptic number.

20130363 is a deficient number, since it is larger than the sum of its proper divisors (14778693).

20130363 is a wasteful number, since it uses less digits than its factorization.

20130363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 20130363 is about 4486.6873080258. The cubic root of 20130363 is about 272.0302509247.

Adding to 20130363 its reverse (36303102), we get a palindrome (56433465).

The spelling of 20130363 in words is "twenty million, one hundred thirty thousand, three hundred sixty-three".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 187 243 297 443 459 561 891 1329 1377 1683 2673 3987 4131 4873 5049 7531 11961 14619 15147 22593 35883 43857 45441 67779 82841 107649 131571 203337 248523 394713 610011 745569 1184139 1830033 2236707 6710121 20130363