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111322444223034 = 23311593670986531
BaseRepresentation
bin11001010011111101000110…
…101111100101001000111010
3112121011022200112122220021000
4121103331012233211020322
5104042401331210114114
61032432454101025430
732306531642115642
oct3123750657451072
9477138615586230
10111322444223034
113251a646659340
121059b0513b5276
134a1687a273c35
141d6c06c263522
15cd0b43c62e09
hex653f46be523a

111322444223034 has 128 divisors (see below), whose sum is σ = 274457351808000. Its totient is φ = 33161023425600.

The previous prime is 111322444223033. The next prime is 111322444223149. The reversal of 111322444223034 is 430322444223111.

111322444223034 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 224 + 4 + 422 + 3 + 0 + 3 + 4 = 666.

It is a super-4 number, since 4×1113224442230344 (a number of 57 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111322444223034.

It is not an unprimeable number, because it can be changed into a prime (111322444223033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1286460349 + ... + 1286546879.

It is an arithmetic number, because the mean of its divisors is an integer number (2144198061000).

Almost surely, 2111322444223034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111322444223034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137228675904000).

111322444223034 is an abundant number, since it is smaller than the sum of its proper divisors (163134907584966).

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

111322444223034 is a wasteful number, since it uses less digits than its factorization.

111322444223034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123321 (or 123315 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 111322444223034 its reverse (430322444223111), we get a palindrome (541644888446145).

The spelling of 111322444223034 in words is "one hundred eleven trillion, three hundred twenty-two billion, four hundred forty-four million, two hundred twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 531 594 649 1062 1298 1593 1947 3186 3894 5841 11682 17523 35046 36709 73418 86531 110127 173062 220254 259593 330381 403799 519186 660762 778779 807598 951841 991143 1211397 1557558 1903682 1982286 2165831 2336337 2422794 2855523 3634191 4331662 4672674 5105329 5711046 6497493 7268382 8566569 10210658 10902573 12994986 15315987 17133138 19492479 21805146 23824141 25699707 30631974 38984958 45947961 47648282 51399414 56158619 58477437 71472423 91895922 112317238 116954874 137843883 142944846 168475857 214417269 275687766 336951714 428834538 505427571 643251807 1010855142 1286503614 1516282713 3032565426 3176466479 6352932958 9529399437 19058798874 28588198311 34941131269 57176396622 69882262538 85764594933 104823393807 171529189866 187411522261 209646787614 314470181421 374823044522 562234566783 628940362842 943410544263 1124469133566 1686703700349 1886821088526 2061526744871 3373407400698 4123053489742 5060111101047 6184580234613 10120222202094 12369160469226 18553740703839 37107481407678 55661222111517 111322444223034