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541131106045 = 5337321146057
BaseRepresentation
bin1111101111111011110…
…11010110011011111101
31220201202100122101112111
413313331323112123331
532331214030343140
61052331525334021
754044506336405
oct7677573263375
91821670571474
10541131106045
11199546447222
1288a5b867311
133c04a65254a
141c295b09805
15e121a977ea
hex7dfded66fd

541131106045 has 8 divisors (see below), whose sum is σ = 651284205624. Its totient is φ = 431620299264.

The previous prime is 541131106031. The next prime is 541131106049. The reversal of 541131106045 is 540601131145.

It can be written as a sum of positive squares in 4 ways, for example, as 4636384281 + 536494721764 = 68091^2 + 732458^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 541131106045 - 213 = 541131097853 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541131105998 and 541131106016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541131106049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160571344 + ... + 160574713.

It is an arithmetic number, because the mean of its divisors is an integer number (81410525703).

Almost surely, 2541131106045 is an apocalyptic number.

It is an amenable number.

541131106045 is a deficient number, since it is larger than the sum of its proper divisors (110153099579).

541131106045 is a wasteful number, since it uses less digits than its factorization.

541131106045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321146399.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 541131106045 in words is "five hundred forty-one billion, one hundred thirty-one million, one hundred six thousand, forty-five".

Divisors: 1 5 337 1685 321146057 1605730285 108226221209 541131106045