Search a number
-
+
20131141041 = 32111937289253
BaseRepresentation
bin10010101111111010…
…001101010110110001
31220221222021220221100
4102233322031112301
5312212033003131
613125332115013
71311603606204
oct225772152661
956858256840
1020131141041
1185a0560250
123a99a65a69
131b8a90289b
14d8d8a193b
157cc5227e6
hex4afe8d5b1

20131141041 has 48 divisors (see below), whose sum is σ = 34293954240. Its totient is φ = 11246117760.

The previous prime is 20131141031. The next prime is 20131141111. The reversal of 20131141041 is 14014113102.

20131141041 is a `hidden beast` number, since 201 + 3 + 11 + 410 + 41 = 666.

It is not a de Polignac number, because 20131141041 - 215 = 20131108273 is a prime.

It is a super-2 number, since 2×201311410412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20131141031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75030 + ... + 214223.

It is an arithmetic number, because the mean of its divisors is an integer number (714457380).

Almost surely, 220131141041 is an apocalyptic number.

It is an amenable number.

20131141041 is a deficient number, since it is larger than the sum of its proper divisors (14162813199).

20131141041 is a wasteful number, since it uses less digits than its factorization.

20131141041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289326 (or 289323 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20131141041 its reverse (14014113102), we get a palindrome (34145254143).

The spelling of 20131141041 in words is "twenty billion, one hundred thirty-one million, one hundred forty-one thousand, forty-one".

Divisors: 1 3 9 11 19 33 37 57 99 111 171 209 333 407 627 703 1221 1881 2109 3663 6327 7733 23199 69597 289253 867759 2603277 3181783 5495807 9545349 10702361 16487421 28636047 32107083 49462263 60453877 96321249 117725971 181361631 203344859 353177913 544084893 610034577 1059533739 1830103731 2236793449 6710380347 20131141041