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13054131 = 323171659
BaseRepresentation
bin110001110011…
…000010110011
3220120012220100
4301303002303
511320213011
61143443443
7215646456
oct61630263
926505810
1013054131
117406842
124456583
132920a4c
141a3b49d
15122cd56
hexc730b3

13054131 has 24 divisors (see below), whose sum is σ = 19768320. Its totient is φ = 8290800.

The previous prime is 13054127. The next prime is 13054169. The reversal of 13054131 is 13145031.

13054131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13054131 - 22 = 13054127 is a prime.

It is a super-2 number, since 2×130541312 = 340820672330322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13054231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19480 + ... + 20138.

It is an arithmetic number, because the mean of its divisors is an integer number (823680).

Almost surely, 213054131 is an apocalyptic number.

13054131 is a deficient number, since it is larger than the sum of its proper divisors (6714189).

13054131 is a wasteful number, since it uses less digits than its factorization.

13054131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13054131 is about 3613.0500965251. The cubic root of 13054131 is about 235.4593760644.

Adding to 13054131 its reverse (13145031), we get a palindrome (26199162).

The spelling of 13054131 in words is "thirteen million, fifty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 31 71 93 213 279 639 659 1977 2201 5931 6603 19809 20429 46789 61287 140367 183861 421101 1450459 4351377 13054131