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110202313 = 1317498653
BaseRepresentation
bin1101001000110…
…00110111001001
321200100212011011
412210120313021
5211202433223
614534003521
72505463354
oct644306711
9250325134
10110202313
115722a6a1
1230aa65a1
1319aa6490
14108c929b
159a1c80d
hex6918dc9

110202313 has 8 divisors (see below), whose sum is σ = 125660808. Its totient is φ = 95741184.

The previous prime is 110202293. The next prime is 110202329. The reversal of 110202313 is 313202011.

It can be written as a sum of positive squares in 4 ways, for example, as 33674809 + 76527504 = 5803^2 + 8748^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110202313 - 221 = 108105161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 110202293 and 110202302.

It is not an unprimeable number, because it can be changed into a prime (110202373) 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 7 ways as a sum of consecutive naturals, for example, 249106 + ... + 249547.

It is an arithmetic number, because the mean of its divisors is an integer number (15707601).

Almost surely, 2110202313 is an apocalyptic number.

110202313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110202313 is a deficient number, since it is larger than the sum of its proper divisors (15458495).

110202313 is a wasteful number, since it uses less digits than its factorization.

110202313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498683.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 110202313 is about 10497.7289448718. The cubic root of 110202313 is about 479.4355532344.

Adding to 110202313 its reverse (313202011), we get a palindrome (423404324).

The spelling of 110202313 in words is "one hundred ten million, two hundred two thousand, three hundred thirteen".

Divisors: 1 13 17 221 498653 6482489 8477101 110202313