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20127133 = 1317611493
BaseRepresentation
bin100110011000…
…1110110011101
31101212120020101
41030301312131
520123032013
61555221101
7333035455
oct114616635
941776211
1020127133
11103a78a4
1268a7791
134229260
14295cd65
151b788dd
hex1331d9d

20127133 has 16 divisors (see below), whose sum is σ = 23342256. Its totient is φ = 17187840.

The previous prime is 20127119. The next prime is 20127143. The reversal of 20127133 is 33172102.

It can be written as a sum of positive squares in 8 ways, for example, as 386884 + 19740249 = 622^2 + 4443^2 .

It is a cyclic number.

It is not a de Polignac number, because 20127133 - 217 = 19996061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20127133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20127113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12735 + ... + 14227.

It is an arithmetic number, because the mean of its divisors is an integer number (1458891).

Almost surely, 220127133 is an apocalyptic number.

It is an amenable number.

20127133 is a deficient number, since it is larger than the sum of its proper divisors (3215123).

20127133 is a wasteful number, since it uses less digits than its factorization.

20127133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 20127133 is about 4486.3273398182. The cubic root of 20127133 is about 272.0157006868.

Adding to 20127133 its reverse (33172102), we get a palindrome (53299235).

The spelling of 20127133 in words is "twenty million, one hundred twenty-seven thousand, one hundred thirty-three".

Divisors: 1 13 17 61 221 793 1037 1493 13481 19409 25381 91073 329953 1183949 1548241 20127133