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541087131 = 31326131741
BaseRepresentation
bin100000010000000…
…101010110011011
31101201011002000010
4200100011112123
52102004242011
6125405213003
716260110334
oct4020052633
91351132003
10541087131
1125847a852
12131261163
138813c700
1451c0d28b
15327821a6
hex2040559b

541087131 has 24 divisors (see below), whose sum is σ = 782938416. Its totient is φ = 332242560.

The previous prime is 541087097. The next prime is 541087153. The reversal of 541087131 is 131780145.

It is not a de Polignac number, because 541087131 - 27 = 541087003 is a prime.

It is a super-2 number, since 2×5410871312 = 585550566667622322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (541087031) 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 23 ways as a sum of consecutive naturals, for example, 309921 + ... + 311661.

It is an arithmetic number, because the mean of its divisors is an integer number (32622434).

Almost surely, 2541087131 is an apocalyptic number.

541087131 is a deficient number, since it is larger than the sum of its proper divisors (241851285).

541087131 is a wasteful number, since it uses less digits than its factorization.

541087131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 541087131 is about 23261.2796509564. The cubic root of 541087131 is about 814.8713867331.

The spelling of 541087131 in words is "five hundred forty-one million, eighty-seven thousand, one hundred thirty-one".

Divisors: 1 3 13 39 169 507 613 1741 1839 5223 7969 22633 23907 67899 103597 294229 310791 882687 1067233 3201699 13874029 41622087 180362377 541087131