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30113 is a prime number
BaseRepresentation
bin111010110100001
31112022022
413112201
51430423
6351225
7153536
oct72641
945268
1030113
1120696
1215515
1310925
14ad8d
158dc8
hex75a1

30113 has 2 divisors, whose sum is σ = 30114. Its totient is φ = 30112.

The previous prime is 30109. The next prime is 30119. The reversal of 30113 is 31103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 529 = 172^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 30113 - 22 = 30109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30113.

It is not a weakly prime, because it can be changed into another prime (30119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15056 + 15057.

It is an arithmetic number, because the mean of its divisors is an integer number (15057).

230113 is an apocalyptic number.

It is an amenable number.

30113 is a deficient number, since it is larger than the sum of its proper divisors (1).

30113 is an equidigital number, since it uses as much as digits as its factorization.

30113 is an evil number, because the sum of its binary digits is even.

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

The square root of 30113 is about 173.5309770617. The cubic root of 30113 is about 31.1112892091. Note that the first 3 decimals are identical.

Adding to 30113 its reverse (31103), we get a palindrome (61216).

Subtracting 30113 from its reverse (31103), we obtain a triangular number (990 = T44).

The spelling of 30113 in words is "thirty thousand, one hundred thirteen".