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11110111002112 = 29293419176753
BaseRepresentation
bin1010000110101100011000…
…1110000011111000000000
31110100010010201221010221211
42201223012032003320000
52424012001404031422
635343525312255504
72224451623231153
oct241530616037000
943303121833854
1011110111002112
1135a3854025601
1212b5269841594
136278a9917485
142a5a373b1c9a
15143eed3cb577
hexa1ac6383e00

11110111002112 has 80 divisors (see below), whose sum is σ = 22327572350160. Its totient is φ = 5522852380672.

The previous prime is 11110111002073. The next prime is 11110111002161. The reversal of 11110111002112 is 21120011101111.

It is a junction number, because it is equal to n+sod(n) for n = 11110111002092 and 11110111002101.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 62768328 + ... + 62945080.

It is an arithmetic number, because the mean of its divisors is an integer number (279094654377).

Almost surely, 211110111002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110111002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163786175080).

11110111002112 is an abundant number, since it is smaller than the sum of its proper divisors (11217461348048).

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

11110111002112 is an equidigital number, since it uses as much as digits as its factorization.

11110111002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177483 (or 177467 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11110111002112 its reverse (21120011101111), we get a palindrome (32230122103223).

The spelling of 11110111002112 in words is "eleven trillion, one hundred ten billion, one hundred eleven million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 293 419 512 586 838 1172 1676 2344 3352 4688 6704 9376 13408 18752 26816 37504 53632 75008 107264 122767 150016 176753 214528 245534 353506 491068 707012 982136 1414024 1964272 2828048 3928544 5656096 7857088 11312192 15714176 22624384 31428352 45248768 51788629 62856704 74059507 90497536 103577258 148119014 207154516 296238028 414309032 592476056 828618064 1184952112 1657236128 2369904224 3314472256 4739808448 6628944512 9479616896 13257889024 18959233792 21699435551 26515778048 37918467584 43398871102 86797742204 173595484408 347190968816 694381937632 1388763875264 2777527750528 5555055501056 11110111002112