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110110200212096 = 2774607590251
BaseRepresentation
bin11001000010010100000111…
…010111101010101010000000
3112102212102200011200120211222
4121002110013113222222000
5103413021142223241341
61030103532212454212
732123125260050000
oct3102240727525200
9472772604616758
10110110200212096
11320a25234a8647
121042411731a368
1349594690cb056
141d2950d960000
15cae3441a744b
hex6425075eaa80

110110200212096 has 160 divisors (see below), whose sum is σ = 256326988894080. Its totient is φ = 47112262848000.

The previous prime is 110110200212093. The next prime is 110110200212167. The reversal of 110110200212096 is 690212002011011.

It is not an unprimeable number, because it can be changed into a prime (110110200212093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 186252971 + ... + 186843221.

It is an arithmetic number, because the mean of its divisors is an integer number (1602043680588).

Almost surely, 2110110200212096 is an apocalyptic number.

110110200212096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110200212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128163494447040).

110110200212096 is an abundant number, since it is smaller than the sum of its proper divisors (146216788681984).

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

110110200212096 is an frugal number, since it uses more digits than its factorization.

110110200212096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590900 (or 590867 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 110110200212096 in words is "one hundred ten trillion, one hundred ten billion, two hundred million, two hundred twelve thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 607 686 784 896 1214 1372 1568 2401 2428 2744 3136 4249 4802 4856 5488 6272 8498 9604 9712 10976 16996 19208 19424 21952 29743 33992 38416 38848 43904 59486 67984 76832 77696 118972 135968 153664 208201 237944 271936 307328 416402 475888 543872 590251 832804 951776 1180502 1457407 1665608 1903552 2361004 2914814 3331216 3807104 4131757 4722008 5829628 6662432 8263514 9444016 11659256 13324864 16527028 18888032 23318512 26649728 28922299 33054056 37776064 46637024 57844598 66108112 75552128 93274048 115689196 132216224 186548096 202456093 231378392 264432448 358282357 404912186 462756784 528864896 716564714 809824372 925513568 1417192651 1433129428 1619648744 1851027136 2507976499 2834385302 2866258856 3239297488 3702054272 5015952998 5668770604 5732517712 6478594976 10031905996 11337541208 11465035424 12957189952 17555835493 20063811992 22675082416 22930070848 25914379904 35111670986 40127623984 45350164832 45860141696 70223341972 80255247968 90700329664 122890848451 140446683944 160510495936 181400659328 245781696902 280893367888 321020991872 491563393804 561786735776 860235939157 983126787608 1123573471552 1720471878314 1966253575216 2247146943104 3440943756628 3932507150432 6881887513256 7865014300864 13763775026512 15730028601728 27527550053024 55055100106048 110110200212096