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110080742226 = 2371317103111503
BaseRepresentation
bin110011010000101010…
…0101101001101010010
3101112010201100002212220
41212201110231031102
53300421132222401
6122323112201510
710644621604350
oct1464124551522
9345121302786
10110080742226
1142759788a24
1219401999296
13a4c415a080
145483c007d0
152ce4246336
hex19a152d352

110080742226 has 128 divisors (see below), whose sum is σ = 287210520576. Its totient is φ = 27295626240.

The previous prime is 110080742203. The next prime is 110080742231. The reversal of 110080742226 is 622247080011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9563991 + ... + 9575493.

It is an arithmetic number, because the mean of its divisors is an integer number (2243832192).

Almost surely, 2110080742226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110080742226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143605260288).

110080742226 is an abundant number, since it is smaller than the sum of its proper divisors (177129778350).

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

110080742226 is a wasteful number, since it uses less digits than its factorization.

110080742226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12576.

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 110080742226 in words is "one hundred ten billion, eighty million, seven hundred forty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1031 1326 1547 2062 3093 3094 4641 6186 7217 9282 11503 13403 14434 17527 21651 23006 26806 34509 35054 40209 43302 52581 69018 80418 80521 93821 105162 122689 149539 161042 187642 195551 227851 241563 245378 281463 299078 368067 391102 448617 455702 483126 562926 586653 683553 736134 897234 1046773 1173306 1367106 1368857 1594957 2093546 2542163 2737714 3140319 3189914 4106571 4784871 5084326 6280638 7626489 8213142 9569742 11859593 15252978 17795141 23719186 35578779 35590282 53385423 71157558 83017151 106770846 154174709 166034302 201613081 249051453 308349418 403226162 462524127 498102906 604839243 925048254 1079222963 1209678486 1411291567 2158445926 2620970053 2822583134 3237668889 4233874701 5241940106 6475337778 7862910159 8467749402 15725820318 18346790371 36693580742 55040371113 110080742226