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110010220000122 = 23132473796090571
BaseRepresentation
bin11001000000110111000000…
…000101011011001101111010
3112102111212121101021120200010
4121000313000011123031322
5103404401412310000442
61025545555233522350
732112655543215351
oct3100670005331572
9472455541246603
10110010220000122
1132064088258592
12104088741133b6
13494cbc4729400
141d247473b0998
15cab941a7ab9c
hex640dc015b37a

110010220000122 has 96 divisors (see below), whose sum is σ = 243958105082880. Its totient is φ = 33041683321920.

The previous prime is 110010220000061. The next prime is 110010220000157. The reversal of 110010220000122 is 221000022010011.

It is a junction number, because it is equal to n+sod(n) for n = 110010220000098 and 110010220000107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15017097 + ... + 21107667.

It is an arithmetic number, because the mean of its divisors is an integer number (2541230261280).

Almost surely, 2110010220000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010220000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121979052541440).

110010220000122 is an abundant number, since it is smaller than the sum of its proper divisors (133947885082758).

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

110010220000122 is a wasteful number, since it uses less digits than its factorization.

110010220000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6091028 (or 6091015 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110010220000122 its reverse (221000022010011), we get a palindrome (331010242010133).

The spelling of 110010220000122 in words is "one hundred ten trillion, ten billion, two hundred twenty million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 47 78 94 141 169 282 338 379 507 611 758 1014 1137 1222 1833 2274 3666 4927 7943 9854 14781 15886 17813 23829 29562 35626 47658 53439 64051 106878 128102 192153 231569 384306 463138 694707 1389414 3010397 6020794 6090571 9031191 12181142 18062382 18271713 36543426 79177423 158354846 237532269 286256837 475064538 572513674 858770511 1029306499 1717541022 2058612998 2308326409 3087919497 3721338881 4616652818 6175838994 6924979227 7442677762 11164016643 13849958454 22328033286 30008243317 48377405453 60016486634 90024729951 96754810906 108491341223 145132216359 180049459902 216982682446 290264432718 325474023669 390107163121 650948047338 780214326242 1170321489363 1410387435899 2340642978726 2820774871798 4231162307697 8462324615394 18335036666687 36670073333374 55005110000061 110010220000122