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434010222011 = 414373101173193
BaseRepresentation
bin1100101000011010000…
…01100110110110111011
31112111020220210122210002
412110031001212312323
524102323104101021
6531214225143215
743233115006142
oct6241501466673
91474226718702
10434010222011
111580765015a3
127014518ab0b
1331c08793772
1417013062759
15b45261650b
hex650d066dbb

434010222011 has 64 divisors (see below), whose sum is σ = 470852452224. Its totient is φ = 399458304000.

The previous prime is 434010222007. The next prime is 434010222017. The reversal of 434010222011 is 110222010434.

It is not a de Polignac number, because 434010222011 - 22 = 434010222007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434010222017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2248757531 + ... + 2248757723.

It is an arithmetic number, because the mean of its divisors is an integer number (7357069566).

Almost surely, 2434010222011 is an apocalyptic number.

434010222011 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

434010222011 is a deficient number, since it is larger than the sum of its proper divisors (36842230213).

434010222011 is a wasteful number, since it uses less digits than its factorization.

434010222011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 434010222011 its reverse (110222010434), we get a palindrome (544232232445).

The spelling of 434010222011 in words is "four hundred thirty-four billion, ten million, two hundred twenty-two thousand, eleven".

Divisors: 1 41 43 73 101 173 193 1763 2993 3139 4141 4343 7093 7373 7439 7913 8299 12629 14089 17473 19493 33389 128699 178063 302293 304999 317039 340259 517789 543047 577649 605827 716393 751339 799213 838199 1275529 1368949 1422989 1435727 2437397 3372289 12998599 22264927 24838907 30804899 34366159 52296689 54847747 58342549 58864807 61188527 99933277 104808071 138263849 145008427 246177097 2248757627 2508729607 4297130911 5945345507 10093260977 10585615171 434010222011