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111123410140242 = 23310372728579619
BaseRepresentation
bin11001010001000011101111…
…011000110011110001010010
3112120110021221111220220002000
4121101003233120303301102
5104031121220443441432
61032201220113534430
732256254460251043
oct3121035730636122
9476407844826060
10111123410140242
11324531a0052025
1210568565274416
134a00b7b0ba806
141d6258a57a8ca
15cca8954db57c
hex6510ef633c52

111123410140242 has 128 divisors (see below), whose sum is σ = 249794723942400. Its totient is φ = 36614429647488.

The previous prime is 111123410140219. The next prime is 111123410140321. The reversal of 111123410140242 is 242041014321111.

111123410140242 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 2 + 3 + 410 + 1 + 4 + 0 + 242 = 666.

111123410140242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11552486109 + ... + 11552495727.

It is an arithmetic number, because the mean of its divisors is an integer number (1951521280800).

Almost surely, 2111123410140242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111123410140242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124897361971200).

111123410140242 is an abundant number, since it is smaller than the sum of its proper divisors (138671313802158).

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

111123410140242 is a wasteful number, since it uses less digits than its factorization.

111123410140242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13317 (or 13311 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 111123410140242 its reverse (242041014321111), we get a palindrome (353164424461353).

The spelling of 111123410140242 in words is "one hundred eleven trillion, one hundred twenty-three billion, four hundred ten million, one hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 727 927 1454 1854 2181 2781 2857 4362 5562 5714 6543 8571 9619 13086 17142 19238 19629 25713 28857 39258 51426 57714 74881 77139 86571 149762 154278 173142 224643 259713 294271 449286 519426 588542 673929 882813 990757 1347858 1765626 1981514 2021787 2077039 2648439 2972271 4043574 4154078 5296878 5944542 6231117 6993013 7945317 8916813 12462234 13986026 15890634 17833626 18693351 20979039 26750439 27481483 37386702 41958078 53500878 54962966 56080053 62937117 82444449 112160106 125874234 164888898 188811351 213935017 247333347 377622702 427870034 494666694 641805051 720280339 742000041 1283610102 1440560678 1484000082 1925415153 2160841017 2830592749 3850830306 4321682034 5661185498 5776245459 6482523051 8491778247 11552490918 12965046102 16983556494 19447569153 19979038141 25475334741 38895138306 39958076282 50950669482 59937114423 76426004223 119874228846 152852008446 179811343269 359622686538 539434029807 1078868059614 2057840928523 4115681857046 6173522785569 12347045571138 18520568356707 37041136713414 55561705070121 111123410140242