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13204442243223 = 327311834685033
BaseRepresentation
bin1100000000100110011000…
…0101101110000010010111
31201202022222021122112212200
43000021212011232002113
53212320144203240343
644030011555215543
72531663250114000
oct300114605560227
951668867575780
1013204442243223
114230a77452a90
121593138ba75b3
1374a23440b17a
1433915409a1a7
1517d727adb4d3
hexc026616e097

13204442243223 has 96 divisors (see below), whose sum is σ = 24557074214400. Its totient is φ = 6776805087360.

The previous prime is 13204442243191. The next prime is 13204442243261. The reversal of 13204442243223 is 32234224440231.

13204442243223 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 4 + 422 + 4 + 3 + 223 = 666.

It is not a de Polignac number, because 13204442243223 - 25 = 13204442243191 is a prime.

It is a super-2 number, since 2×132044422432232 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13204442243423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475915 + ... + 5160947.

It is an arithmetic number, because the mean of its divisors is an integer number (255802856400).

Almost surely, 213204442243223 is an apocalyptic number.

13204442243223 is a deficient number, since it is larger than the sum of its proper divisors (11352631971177).

13204442243223 is a wasteful number, since it uses less digits than its factorization.

13204442243223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685154 (or 4685137 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 13204442243223 its reverse (32234224440231), we get a palindrome (45438666683454).

The spelling of 13204442243223 in words is "thirteen trillion, two hundred four billion, four hundred forty-two million, two hundred forty-three thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 21 33 49 63 77 83 99 147 231 249 343 441 539 581 693 747 913 1029 1617 1743 2739 3087 3773 4067 4851 5229 6391 8217 11319 12201 19173 28469 33957 36603 44737 57519 85407 134211 256221 313159 402633 939477 2818431 4685033 14055099 32795231 42165297 51535363 98385693 154606089 229566617 295157079 360747541 388857739 463818267 688699851 1082242623 1166573217 1606966319 2066099553 2525232787 2722004173 3246727869 3499719651 4277435129 4820898957 7575698361 8166012519 12832305387 14462696871 17676629509 19054029211 22727095083 24498037557 29942045903 38496916161 53029888527 57162087633 89826137709 133378204477 159089665581 171486262899 209594321321 269478413127 400134613431 628782963963 1200403840293 1467160249247 1886348891889 4401480747741 13204442243223