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300105013 = 13109211789
BaseRepresentation
bin10001111000110…
…011110100110101
3202220200220200111
4101320303310311
51103311330023
645440143021
710302564505
oct2170636465
9686626614
10300105013
1114444637a
1284607a71
134a236840
142bbdda05
151b53000d
hex11e33d35

300105013 has 8 divisors (see below), whose sum is σ = 326156600. Its totient is φ = 274477248.

The previous prime is 300104999. The next prime is 300105053. The reversal of 300105013 is 310501003.

It can be written as a sum of positive squares in 4 ways, for example, as 93837969 + 206267044 = 9687^2 + 14362^2 .

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 300105013 - 29 = 300104501 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300104984 and 300105002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300105053) 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, 104478 + ... + 107311.

It is an arithmetic number, because the mean of its divisors is an integer number (40769575).

Almost surely, 2300105013 is an apocalyptic number.

It is an amenable number.

300105013 is a deficient number, since it is larger than the sum of its proper divisors (26051587).

300105013 is a wasteful number, since it uses less digits than its factorization.

300105013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211911.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 300105013 is about 17323.5392746402. The cubic root of 300105013 is about 669.5110511504.

Adding to 300105013 its reverse (310501003), we get a palindrome (610606016).

The spelling of 300105013 in words is "three hundred million, one hundred five thousand, thirteen".

Divisors: 1 13 109 1417 211789 2753257 23085001 300105013