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20011131 = 347291217
BaseRepresentation
bin100110001010…
…1100001111011
31101122200010000
41030111201323
520110324011
61552524043
7332043330
oct114254173
941580100
1020011131
1110328728
126850623
1341b850a
14292c987
151b54356
hex131587b

20011131 has 40 divisors (see below), whose sum is σ = 35370720. Its totient is φ = 11031552.

The previous prime is 20011099. The next prime is 20011139. The reversal of 20011131 is 13111002.

It is not a de Polignac number, because 20011131 - 25 = 20011099 is a prime.

It is a super-2 number, since 2×200111312 = 800890727798322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011139) 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 39 ways as a sum of consecutive naturals, for example, 15835 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (884268).

Almost surely, 220011131 is an apocalyptic number.

20011131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20011131 is a deficient number, since it is larger than the sum of its proper divisors (15359589).

20011131 is a wasteful number, since it uses less digits than its factorization.

20011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 20011131 is about 4473.3802655263. The cubic root of 20011131 is about 271.4921092911.

Adding to 20011131 its reverse (13111002), we get a palindrome (33122133).

The spelling of 20011131 in words is "twenty million, eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 261 567 609 783 1217 1827 2349 3651 5481 8519 10953 16443 25557 32859 35293 76671 98577 105879 230013 247051 317637 690039 741153 952911 2223459 2858733 6670377 20011131