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2172571105 = 5291011091361
BaseRepresentation
bin1000000101111110…
…1100110111100001
312121102002001021111
42001133230313201
513422134233410
6555325423321
7104560356355
oct20137546741
95542061244
102172571105
11a153a5911
1250770ab41
13288149a43
1416877b465
15caaeeb8a
hex817ecde1

2172571105 has 32 divisors (see below), whose sum is σ = 2750695200. Its totient is φ = 1645056000.

The previous prime is 2172571097. The next prime is 2172571111. The reversal of 2172571105 is 5011752712.

It can be written as a sum of positive squares in 16 ways, for example, as 120209296 + 2052361809 = 10964^2 + 45303^2 .

It is not a de Polignac number, because 2172571105 - 23 = 2172571097 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1595625 + ... + 1596985.

It is an arithmetic number, because the mean of its divisors is an integer number (85959225).

Almost surely, 22172571105 is an apocalyptic number.

It is an amenable number.

2172571105 is a deficient number, since it is larger than the sum of its proper divisors (578124095).

2172571105 is a wasteful number, since it uses less digits than its factorization.

2172571105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605.

The product of its (nonzero) digits is 4900, while the sum is 31.

The square root of 2172571105 is about 46610.8475035587. The cubic root of 2172571105 is about 1295.1637077318.

It can be divided in two parts, 2172571 and 105, that added together give a square (2172676 = 14742).

The spelling of 2172571105 in words is "two billion, one hundred seventy-two million, five hundred seventy-one thousand, one hundred five".

Divisors: 1 5 29 101 109 145 505 545 1361 2929 3161 6805 11009 14645 15805 39469 55045 137461 148349 197345 319261 687305 741745 1596305 3986369 4302121 14983249 19931845 21510605 74916245 434514221 2172571105