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11101104 = 243373671
BaseRepresentation
bin101010010110…
…001110110000
3202212222212000
4222112032300
510320213404
61033534000
7163233510
oct52261660
922788760
1011101104
1162a2473
123874300
1323b8b01
14168d840
15e94339
hexa963b0

11101104 has 80 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 3170880.

The previous prime is 11101099. The next prime is 11101109. The reversal of 11101104 is 40110111.

It is an interprime number because it is at equal distance from previous prime (11101099) and next prime (11101109).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189 + ... + 4859.

It is an arithmetic number, because the mean of its divisors is an integer number (455328).

Almost surely, 211101104 is an apocalyptic number.

11101104 is a gapful number since it is divisible by the number (14) 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 11101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

11101104 is an abundant number, since it is smaller than the sum of its proper divisors (25325136).

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

11101104 is a wasteful number, since it uses less digits than its factorization.

11101104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 11101104 is about 3331.8319285342. The cubic root of 11101104 is about 223.0773056733.

Adding to 11101104 its reverse (40110111), we get a palindrome (51211215).

The spelling of 11101104 in words is "eleven million, one hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 3671 7342 11013 14684 22026 25697 29368 33039 44052 51394 58736 66078 77091 88104 99117 102788 132156 154182 176208 198234 205576 231273 264312 308364 396468 411152 462546 528624 616728 693819 792936 925092 1233456 1387638 1585872 1850184 2775276 3700368 5550552 11101104