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11001114 = 2321921693
BaseRepresentation
bin101001111101…
…110100011010
3202200220200200
4221331310122
510304013424
61031443030
7162336135
oct51756432
922626620
1011001114
116234333
123826476
132382447
14166521c
15e748c9
hexa7dd1a

11001114 has 36 divisors (see below), whose sum is σ = 25171146. Its totient is φ = 3471984.

The previous prime is 11001103. The next prime is 11001131. The reversal of 11001114 is 41110011.

It can be written as a sum of positive squares in only one way, i.e., 9828225 + 1172889 = 3135^2 + 1083^2 .

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 = 11001096 and 11001105.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5652 + ... + 7344.

Almost surely, 211001114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585573).

11001114 is an abundant number, since it is smaller than the sum of its proper divisors (14170032).

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

11001114 is a wasteful number, since it uses less digits than its factorization.

11001114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1717 counting only the distinct ones).

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

The square root of 11001114 is about 3316.7927279226. The cubic root of 11001114 is about 222.4055164211.

Adding to 11001114 its reverse (41110011), we get a palindrome (52111125).

The spelling of 11001114 in words is "eleven million, one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 1693 2166 3249 3386 5079 6498 10158 15237 30474 32167 64334 96501 193002 289503 579006 611173 1222346 1833519 3667038 5500557 11001114