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111220313321096 = 23731612035751593
BaseRepresentation
bin11001010010011101111111…
…010001000110111010001000
3112120210120001212100112002022
4121102131333101012322020
5104034213200202233341
61032313523453224012
732266255021560230
oct3122357721067210
9476716055315068
10111220313321096
11324902a73a9061
12105832a9a92008
134a0a052146c95
141d671401d0cc0
15ccd167909e4b
hex65277f446e88

111220313321096 has 128 divisors (see below), whose sum is σ = 250067483228160. Its totient is φ = 45368931686400.

The previous prime is 111220313321053. The next prime is 111220313321137. The reversal of 111220313321096 is 690123313022111.

111220313321096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2155699076 + ... + 2155750668.

It is an arithmetic number, because the mean of its divisors is an integer number (1953652212720).

Almost surely, 2111220313321096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111220313321096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125033741614080).

111220313321096 is an abundant number, since it is smaller than the sum of its proper divisors (138847169907064).

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

111220313321096 is a wasteful number, since it uses less digits than its factorization.

111220313321096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72055 (or 72051 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 111220313321096 in words is "one hundred eleven trillion, two hundred twenty billion, three hundred thirteen million, three hundred twenty-one thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 31 56 61 62 122 124 217 244 248 427 434 488 854 868 1708 1736 1891 3416 3782 7564 13237 15128 20357 26474 40714 51593 52948 81428 103186 105896 142499 162856 206372 284998 361151 412744 569996 631067 722302 1139992 1241777 1262134 1444604 1599383 2483554 2524268 2889208 3147173 3198766 4417469 4967108 5048536 6294346 6397532 8692439 8834938 9934216 11195681 12588692 12795064 17384878 17669876 22030211 22391362 25177384 34769756 35339752 38495087 44060422 44782724 69539512 76990174 88120844 89565448 97562363 153980348 176241688 195124726 269465609 307960696 390249452 538931218 682936541 780498904 1050278701 1077862436 1365873082 2100557402 2155724872 2731746164 4201114804 5463492328 7351950907 8402229608 14703901814 29407803628 32558639731 58815607256 64067000761 65117279462 128134001522 130234558924 227910478117 256268003044 260469117848 448469005327 455820956234 512536006088 896938010654 911641912468 1793876021308 1823283824936 1986077023591 3587752042616 3972154047182 7944308094364 13902539165137 15888616188728 27805078330274 55610156660548 111220313321096