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230413313 = 13531372441
BaseRepresentation
bin11011011101111…
…01010000000001
3121001120012122102
431232331100001
5432441211223
634510320145
75465323634
oct1556752001
9531505572
10230413313
11109075a29
12651b9055
1338975450
142285bc1b
1515365928
hexdbbd401

230413313 has 16 divisors (see below), whose sum is σ = 254768976. Its totient is φ = 207068160.

The previous prime is 230413301. The next prime is 230413321. The reversal of 230413313 is 313314032.

230413313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16581184 + 213832129 = 4072^2 + 14623^2 .

It is a de Polignac number, because none of the positive numbers 2k-230413313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230413913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93173 + ... + 95613.

It is an arithmetic number, because the mean of its divisors is an integer number (15923061).

Almost surely, 2230413313 is an apocalyptic number.

It is an amenable number.

230413313 is a deficient number, since it is larger than the sum of its proper divisors (24355663).

230413313 is a wasteful number, since it uses less digits than its factorization.

230413313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 230413313 is about 15179.3712979161. The cubic root of 230413313 is about 613.0593534160.

Adding to 230413313 its reverse (313314032), we get a palindrome (543727345).

It can be divided in two parts, 2304133 and 13, that multiplied together give a square (29953729 = 54732).

The spelling of 230413313 in words is "two hundred thirty million, four hundred thirteen thousand, three hundred thirteen".

Divisors: 1 13 53 137 689 1781 2441 7261 31733 94393 129373 334417 1681849 4347421 17724101 230413313