Search a number
-
+
110111110011080 = 235311511942730271
BaseRepresentation
bin11001000010010100111101…
…100110010001100011001000
3112102212112000120122011102122
4121002110331212101203020
5103413030023130323310
61030104202352550412
732123156645160113
oct3102247546214310
9472775016564378
10110111110011080
11320a2950013032
121042432bb52408
134959582745949
141d2959870b57a
15cae398ebc555
hex64253d9918c8

110111110011080 has 128 divisors (see below), whose sum is σ = 257457344348160. Its totient is φ = 42337801440000.

The previous prime is 110111110011079. The next prime is 110111110011121. The reversal of 110111110011080 is 80110011111011.

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, 3637496345 + ... + 3637526615.

It is an arithmetic number, because the mean of its divisors is an integer number (2011385502720).

Almost surely, 2110111110011080 is an apocalyptic number.

110111110011080 is a gapful number since it is divisible by the number (10) 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 110111110011080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128728672174080).

110111110011080 is an abundant number, since it is smaller than the sum of its proper divisors (147346234337080).

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

110111110011080 is a wasteful number, since it uses less digits than its factorization.

110111110011080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49891 (or 49887 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 110111110011080 its reverse (80110011111011), we get a palindrome (190221121122091).

The spelling of 110111110011080 in words is "one hundred ten trillion, one hundred eleven billion, one hundred ten million, eleven thousand, eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 151 155 248 302 310 604 620 755 1208 1240 1510 3020 4681 6040 9362 18724 19427 23405 30271 37448 38854 46810 60542 77708 93620 97135 121084 151355 155416 187240 194270 242168 302710 388540 602237 605420 777080 938401 1204474 1210840 1876802 2408948 2933477 3011185 3753604 4570921 4692005 4817896 5866954 6022370 7507208 9141842 9384010 11733908 12044740 14667385 18283684 18768020 22854605 23467816 24089480 29334770 36567368 37536040 45709210 58669540 90937787 91418420 117339080 141698551 181875574 182836840 283397102 363751148 454688935 566794204 588074717 708492755 727502296 909377870 1133588408 1176149434 1416985510 1818755740 2352298868 2833971020 2940373585 3637511480 4704597736 5667942040 5880747170 11761494340 18230316227 23522988680 36460632454 72921264908 88799282267 91151581135 145842529816 177598564534 182303162270 355197129068 364606324540 443996411335 710394258136 729212649080 887992822670 1775985645340 2752777750277 3551971290680 5505555500554 11011111001108 13763888751385 22022222002216 27527777502770 55055555005540 110111110011080