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34101104205 = 3572937437039
BaseRepresentation
bin11111110000100101…
…011000111001001101
310021000120020120201110
4133300211120321031
51024314340313310
623355453002233
72315025413610
oct376045307115
9107016216643
1034101104205
111350a203353
126738483379
1332a5c25a8c
141916d9a177
15d48bc0d20
hex7f0958e4d

34101104205 has 128 divisors (see below), whose sum is σ = 67800268800. Its totient is φ = 14302116864.

The previous prime is 34101104201. The next prime is 34101104231. The reversal of 34101104205 is 50240110143.

It is not a de Polignac number, because 34101104205 - 22 = 34101104201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101104201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4841076 + ... + 4848114.

It is an arithmetic number, because the mean of its divisors is an integer number (529689600).

Almost surely, 234101104205 is an apocalyptic number.

34101104205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34101104205 is a deficient number, since it is larger than the sum of its proper divisors (33699164595).

34101104205 is a wasteful number, since it uses less digits than its factorization.

34101104205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7163.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 34101104205 its reverse (50240110143), we get a palindrome (84341214348).

The spelling of 34101104205 in words is "thirty-four billion, one hundred one million, one hundred four thousand, two hundred five".

Divisors: 1 3 5 7 15 21 29 35 37 43 87 105 111 129 145 185 203 215 259 301 435 555 609 645 777 903 1015 1073 1247 1295 1505 1591 3045 3219 3741 3885 4515 4773 5365 6235 7039 7511 7955 8729 11137 16095 18705 21117 22533 23865 26187 33411 35195 37555 43645 46139 49273 55685 105585 112665 130935 138417 147819 167055 204131 230695 246365 260443 302677 322973 612393 692085 739095 781329 908031 968919 1020655 1302215 1428917 1513385 1614865 1823101 2118739 3061965 3906645 4286751 4540155 4844595 5469303 6356217 7144585 7552847 8777633 9115505 10593695 11199049 21433755 22658541 26332899 27346515 31781085 33597147 37764235 43888165 52869929 55995245 61443431 78393343 113292705 131664495 158609787 167985735 184330293 235180029 264349645 307217155 324772421 391966715 793048935 921651465 974317263 1175900145 1623862105 2273406947 4871586315 6820220841 11367034735 34101104205