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20131041 = 3741103227
BaseRepresentation
bin100110011001…
…0110011100001
31101212202121010
41030302303201
520123143131
61555251133
7333053040
oct114626341
941782533
1020131041
11103aa827
1268a9aa9
13422ac78
142960557
151b79b46
hex1332ce1

20131041 has 32 divisors (see below), whose sum is σ = 31868928. Its totient is φ = 11064960.

The previous prime is 20131031. The next prime is 20131061. The reversal of 20131041 is 14013102.

It is a happy number.

It is not a de Polignac number, because 20131041 - 29 = 20130529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20131031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88570 + ... + 88796.

It is an arithmetic number, because the mean of its divisors is an integer number (995904).

Almost surely, 220131041 is an apocalyptic number.

20131041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20131041 is a deficient number, since it is larger than the sum of its proper divisors (11737887).

20131041 is a wasteful number, since it uses less digits than its factorization.

20131041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 20131041 is about 4486.7628642486. The cubic root of 20131041 is about 272.0333049256.

Adding to 20131041 its reverse (14013102), we get a palindrome (34144143).

The spelling of 20131041 in words is "twenty million, one hundred thirty-one thousand, forty-one".

Divisors: 1 3 7 21 41 103 123 227 287 309 681 721 861 1589 2163 4223 4767 9307 12669 23381 27921 29561 65149 70143 88683 163667 195447 491001 958621 2875863 6710347 20131041