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11014110 = 2335192113
BaseRepresentation
bin101010000000…
…111111011110
3202201120112000
4222000333132
510304422420
61032023130
7162422052
oct52007736
922646460
1011014110
116243078
123831aa6
132388333
141669c62
15e78690
hexa80fde

11014110 has 96 divisors (see below), whose sum is σ = 31272480. Its totient is φ = 2757888.

The previous prime is 11014109. The next prime is 11014111. The reversal of 11014110 is 1141011.

It is an interprime number because it is at equal distance from previous prime (11014109) and next prime (11014111).

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

It is a junction number, because it is equal to n+sod(n) for n = 11014092 and 11014101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97414 + ... + 97526.

It is an arithmetic number, because the mean of its divisors is an integer number (325755).

Almost surely, 211014110 is an apocalyptic number.

11014110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636240).

11014110 is an abundant number, since it is smaller than the sum of its proper divisors (20258370).

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

11014110 is a wasteful number, since it uses less digits than its factorization.

11014110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

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

The square root of 11014110 is about 3318.7512711862. The cubic root of 11014110 is about 222.4930604241.

Adding to 11014110 its reverse (1141011), we get a palindrome (12155121).

The spelling of 11014110 in words is "eleven million, fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 113 114 135 171 190 226 270 285 339 342 361 513 565 570 678 722 855 1017 1026 1083 1130 1695 1710 1805 2034 2147 2166 2565 3051 3249 3390 3610 4294 5085 5130 5415 6102 6441 6498 9747 10170 10735 10830 12882 15255 16245 19323 19494 21470 30510 32205 32490 38646 40793 48735 57969 64410 81586 96615 97470 115938 122379 193230 203965 244758 289845 367137 407930 579690 611895 734274 1101411 1223790 1835685 2202822 3671370 5507055 11014110