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20005181 = 721133613
BaseRepresentation
bin100110001010…
…0000100111101
31101122100221122
41030110010331
520110131211
61552440325
7332020100
oct114240475
941570848
1020005181
1110324209
1268490a5
1341b58b1
14292a737
151b526db
hex131413d

20005181 has 12 divisors (see below), whose sum is σ = 23483772. Its totient is φ = 16990848.

The previous prime is 20005177. The next prime is 20005207. The reversal of 20005181 is 18150002.

It can be written as a sum of positive squares in 2 ways, for example, as 122500 + 19882681 = 350^2 + 4459^2 .

It is not a de Polignac number, because 20005181 - 22 = 20005177 is a prime.

It is a super-2 number, since 2×200051812 = 800414533685522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3731 + ... + 7343.

It is an arithmetic number, because the mean of its divisors is an integer number (1956981).

Almost surely, 220005181 is an apocalyptic number.

It is an amenable number.

20005181 is a deficient number, since it is larger than the sum of its proper divisors (3478591).

20005181 is a wasteful number, since it uses less digits than its factorization.

20005181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 20005181 is about 4472.7151709001. The cubic root of 20005181 is about 271.4651986319.

Adding to 20005181 its reverse (18150002), we get a palindrome (38155183).

The spelling of 20005181 in words is "twenty million, five thousand, one hundred eighty-one".

Divisors: 1 7 49 113 791 3613 5537 25291 177037 408269 2857883 20005181