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110020313 = 1312136977
BaseRepresentation
bin1101000111011…
…00011011011001
321200000121111102
412203230123121
5211131122223
614530041145
72504104634
oct643543331
9250017442
10110020313
1157115987
1230a191b5
1319a416a0
141087cc1b
1599d3928
hex68ec6d9

110020313 has 8 divisors (see below), whose sum is σ = 118598088. Its totient is φ = 101458944.

The previous prime is 110020301. The next prime is 110020321. The reversal of 110020313 is 313020011.

It can be written as a sum of positive squares in 4 ways, for example, as 7038409 + 102981904 = 2653^2 + 10148^2 .

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 110020313 - 24 = 110020297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110020294 and 110020303.

It is not an unprimeable number, because it can be changed into a prime (110022313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12281 + ... + 19257.

It is an arithmetic number, because the mean of its divisors is an integer number (14824761).

Almost surely, 2110020313 is an apocalyptic number.

110020313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110020313 is a deficient number, since it is larger than the sum of its proper divisors (8577775).

110020313 is a wasteful number, since it uses less digits than its factorization.

110020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8203.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 110020313 is about 10489.0568212781. The cubic root of 110020313 is about 479.1714772582.

Adding to 110020313 its reverse (313020011), we get a palindrome (423040324).

The spelling of 110020313 in words is "one hundred ten million, twenty thousand, three hundred thirteen".

Divisors: 1 13 1213 6977 15769 90701 8463101 110020313