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511321045 = 54111322073
BaseRepresentation
bin11110011110100…
…010001111010101
31022122010210121111
4132132202033111
52021344233140
6122423215021
715446104624
oct3636421725
91278123544
10511321045
1124269a084
121232a7471
1381c1a041
144bca16bb
152ed527ea
hex1e7a23d5

511321045 has 16 divisors (see below), whose sum is σ = 634141872. Its totient is φ = 395530240.

The previous prime is 511321043. The next prime is 511321079. The reversal of 511321045 is 540123115.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 68260644 + 443060401 = 8262^2 + 21049^2 .

It is not a de Polignac number, because 511321045 - 21 = 511321043 is a prime.

It is a super-2 number, since 2×5113210452 = 522898422119784050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511321043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12129 + ... + 34201.

It is an arithmetic number, because the mean of its divisors is an integer number (39633867).

Almost surely, 2511321045 is an apocalyptic number.

It is an amenable number.

511321045 is a deficient number, since it is larger than the sum of its proper divisors (122820827).

511321045 is a wasteful number, since it uses less digits than its factorization.

511321045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22232.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 511321045 is about 22612.4090932390. The cubic root of 511321045 is about 799.6462211779.

The spelling of 511321045 in words is "five hundred eleven million, three hundred twenty-one thousand, forty-five".

Divisors: 1 5 41 113 205 565 4633 22073 23165 110365 904993 2494249 4524965 12471245 102264209 511321045