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11004424403231 = 7171937379449773
BaseRepresentation
bin1010000000100010101011…
…0011101011100100011111
31102222000100020221122112202
42200020222303223210133
52420244030121400411
635223210205522115
72214020616040160
oct240105263534437
942860306848482
1011004424403231
113562a4a766606
12129889357333b
1361a935c4c72c
142a088d003767
151413b4d1383b
hexa022aceb91f

11004424403231 has 128 divisors (see below), whose sum is σ = 14484821760000. Its totient is φ = 8132673798144.

The previous prime is 11004424403179. The next prime is 11004424403239. The reversal of 11004424403231 is 13230442440011.

It is not a de Polignac number, because 11004424403231 - 222 = 11004420208927 is a prime.

It is a super-3 number, since 3×110044244032313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11004424403194 and 11004424403203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004424403239) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14235994961 + ... + 14235995733.

It is an arithmetic number, because the mean of its divisors is an integer number (113162670000).

Almost surely, 211004424403231 is an apocalyptic number.

11004424403231 is a deficient number, since it is larger than the sum of its proper divisors (3480397356769).

11004424403231 is a wasteful number, since it uses less digits than its factorization.

11004424403231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 11004424403231 its reverse (13230442440011), we get a palindrome (24234866843242).

The spelling of 11004424403231 in words is "eleven trillion, four billion, four hundred twenty-four million, four hundred three thousand, two hundred thirty-one".

Divisors: 1 7 17 19 37 119 133 259 323 379 449 629 703 773 2261 2653 3143 4403 4921 5411 6443 7201 7633 8531 11951 13141 14023 14687 16613 28601 45101 50407 53431 59717 83657 91987 98161 102809 116291 122417 145027 170171 200207 238391 249679 266437 282421 292967 315647 347077 486217 543419 856919 1015189 1191197 1668737 1747753 1865059 1976947 2050769 2209529 2429539 2892907 3233249 3403519 3803933 4529429 4980439 5365999 5566373 5900309 6296327 6594463 9238123 10839779 12841849 20250349 22632743 31706003 34863073 37561993 38964611 41302163 44074289 46161241 54965233 64666861 75878453 89892943 94628341 107037559 112105871 119630213 131542183 184276243 205955801 218311433 243995131 384756631 662398387 749262913 784741097 837411491 920795281 1289933701 1441690607 1528180031 1707965917 2033713621 2236217111 2499301477 3501248617 4147917227 4867060771 14235995347 15653519777 17495110339 24508740319 29035420589 34069425397 42488125109 82740033107 92474154649 297416875763 579180231749 647319082543 1572060629033 11004424403231