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18288101 = 1337193197
BaseRepresentation
bin100010111000…
…0110111100101
31021102010120002
41011300313211
514140204401
61451551045
7311306036
oct105606745
937363502
1018288101
11a361137
12615b485
133a34180
142600a8d
151913a6b
hex1170de5

18288101 has 16 divisors (see below), whose sum is σ = 20435184. Its totient is φ = 16257024.

The previous prime is 18288097. The next prime is 18288121. The reversal of 18288101 is 10188281.

It can be written as a sum of positive squares in 8 ways, for example, as 857476 + 17430625 = 926^2 + 4175^2 .

It is a cyclic number.

It is not a de Polignac number, because 18288101 - 22 = 18288097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18288121) 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 15 ways as a sum of consecutive naturals, for example, 92735 + ... + 92931.

It is an arithmetic number, because the mean of its divisors is an integer number (1277199).

Almost surely, 218288101 is an apocalyptic number.

It is an amenable number.

18288101 is a deficient number, since it is larger than the sum of its proper divisors (2147083).

18288101 is a wasteful number, since it uses less digits than its factorization.

18288101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440.

The product of its (nonzero) digits is 1024, while the sum is 29.

The square root of 18288101 is about 4276.4589323411. The cubic root of 18288101 is about 263.4649641903.

The spelling of 18288101 in words is "eighteen million, two hundred eighty-eight thousand, one hundred one".

Divisors: 1 13 37 193 197 481 2509 2561 7141 7289 38021 92833 94757 494273 1406777 18288101