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111043111131342 = 23213532775921773
BaseRepresentation
bin11001001111111000111101…
…001100011001100011001110
3112120011121200100011120222100
4121033320331030121203032
5104023312242422200332
61032100300115255530
732250412545035265
oct3117707514314316
9476147610146870
10111043111131342
1132422134389155
1210554a952aa5a6
1349c6422044070
141d5c72dc095dc
15cc8745b5767c
hex64fe3d3198ce

111043111131342 has 144 divisors (see below), whose sum is σ = 264127688435520. Its totient is φ = 33516588748032.

The previous prime is 111043111131263. The next prime is 111043111131361. The reversal of 111043111131342 is 243131111340111.

111043111131342 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 4 + 311 + 1 + 1 + 3 + 1 + 342 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5100026368 + ... + 5100048140.

It is an arithmetic number, because the mean of its divisors is an integer number (1834220058580).

Almost surely, 2111043111131342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111043111131342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132063844217760).

111043111131342 is an abundant number, since it is smaller than the sum of its proper divisors (153084577304178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111043111131342 is a wasteful number, since it uses less digits than its factorization.

111043111131342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29659 (or 29603 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 111043111131342 its reverse (243131111340111), we get a palindrome (354174222471453).

The spelling of 111043111131342 in words is "one hundred eleven trillion, forty-three billion, one hundred eleven million, one hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 2809 4134 5618 6201 7759 8427 12402 15518 16854 21773 23277 25281 36517 43546 46554 50562 65319 69831 73034 100867 109551 130638 139662 195957 201734 219102 283049 302601 328653 391914 411227 566098 605202 657306 822454 849147 907803 1153969 1233681 1698294 1815606 2307938 2467362 2547441 3461907 3701043 5094882 5345951 6923814 7402086 10385721 10691902 15001597 16037853 20771442 21795031 30003194 32075706 43590062 45004791 48113559 61160357 65385093 90009582 96227118 122320714 130770186 135014373 168936707 183481071 196155279 270028746 283335403 337873414 366962142 392310558 506810121 550443213 566670806 795084641 850006209 1013620242 1100886426 1520430363 1590169282 1700012418 2196177191 2385253923 2550018627 3040860726 4392354382 4770507846 5100037254 6588531573 7155761769 8953645471 13177063146 14311523538 17907290942 19765594719 26860936413 39531189438 53721872826 80582809239 116397391123 161165618478 232794782246 349192173369 474543209963 698384346738 949086419926 1047576520107 1423629629889 2095153040214 2847259259778 4270888889667 6169061729519 8541777779334 12338123459038 18507185188557 37014370377114 55521555565671 111043111131342