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8314101 = 32923789
BaseRepresentation
bin11111101101110011110101
3120122101210200
4133231303311
54112022401
6454111113
7130445235
oct37556365
916571720
108314101
114769564
12294b499
1319513b3
141165cc5
15ae3686
hex7edcf5

8314101 has 6 divisors (see below), whose sum is σ = 12009270. Its totient is φ = 5542728.

The previous prime is 8314099. The next prime is 8314121. The reversal of 8314101 is 1014138.

8314101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6426225 + 1887876 = 2535^2 + 1374^2 .

It is not a de Polignac number, because 8314101 - 21 = 8314099 is a prime.

It is a Curzon number.

8314101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8314121) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 461886 + ... + 461903.

It is an arithmetic number, because the mean of its divisors is an integer number (2001545).

Almost surely, 28314101 is an apocalyptic number.

It is an amenable number.

8314101 is a deficient number, since it is larger than the sum of its proper divisors (3695169).

8314101 is a wasteful number, since it uses less digits than its factorization.

8314101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923795 (or 923792 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 8314101 is about 2883.4182839123. The cubic root of 8314101 is about 202.5839797994.

Adding to 8314101 its reverse (1014138), we get a palindrome (9328239).

The spelling of 8314101 in words is "eight million, three hundred fourteen thousand, one hundred one".

Divisors: 1 3 9 923789 2771367 8314101