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1313301 = 311172341
BaseRepresentation
bin101000000101000010101
32110201111210
411000220111
5314011201
644052033
714106603
oct5005025
92421453
101313301
11817780
12534019
1336ca02
14262873
151ae1d6
hex140a15

1313301 has 16 divisors (see below), whose sum is σ = 2023488. Its totient is φ = 748800.

The previous prime is 1313297. The next prime is 1313311. The reversal of 1313301 is 1033131.

It is not a de Polignac number, because 1313301 - 22 = 1313297 is a prime.

1313301 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610 + ... + 1731.

It is an arithmetic number, because the mean of its divisors is an integer number (126468).

21313301 is an apocalyptic number.

1313301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1313301 is a deficient number, since it is larger than the sum of its proper divisors (710187).

1313301 is a wasteful number, since it uses less digits than its factorization.

1313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1313301 is about 1145.9934554787. The cubic root of 1313301 is about 109.5102469508.

Adding to 1313301 its reverse (1033131), we get a palindrome (2346432).

The spelling of 1313301 in words is "one million, three hundred thirteen thousand, three hundred one".

Divisors: 1 3 11 17 33 51 187 561 2341 7023 25751 39797 77253 119391 437767 1313301