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3000113 = 97157197
BaseRepresentation
bin1011011100011100110001
312122102101022
423130130301
51232000423
6144145225
734333454
oct13343461
95572338
103000113
11176a036
121008215
1381071c
1458149b
153e3dc8
hex2dc731

3000113 has 8 divisors (see below), whose sum is σ = 3065832. Its totient is φ = 2935296.

The previous prime is 3000103. The next prime is 3000131. The reversal of 3000113 is 3110003.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 2093809 = 952^2 + 1447^2 .

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 3000113 - 212 = 2996017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3000113.

It is not an unprimeable number, because it can be changed into a prime (3000103) 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, 15131 + ... + 15327.

It is an arithmetic number, because the mean of its divisors is an integer number (383229).

Almost surely, 23000113 is an apocalyptic number.

It is an amenable number.

3000113 is a deficient number, since it is larger than the sum of its proper divisors (65719).

3000113 is a wasteful number, since it uses less digits than its factorization.

3000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 3000113 is about 1732.0834275519. The cubic root of 3000113 is about 144.2267678325.

Adding to 3000113 its reverse (3110003), we get a palindrome (6110116).

It can be divided in two parts, 3000 and 113, that added together give a palindrome (3113).

The spelling of 3000113 in words is "three million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 97 157 197 15229 19109 30929 3000113