Search a number
-
+
312530013 = 32291197433
BaseRepresentation
bin10010101000001…
…101010001011101
3210210002011120200
4102220031101131
51120001430023
651002334113
710513314135
oct2250152135
9723064520
10312530013
11150462474
12887ba339
134c997103
142d715ac5
151c686743
hex12a0d45d

312530013 has 12 divisors (see below), whose sum is σ = 466999260. Its totient is φ = 201168576.

The previous prime is 312530011. The next prime is 312530039. The reversal of 312530013 is 310035213.

It can be written as a sum of positive squares in 2 ways, for example, as 243921924 + 68608089 = 15618^2 + 8283^2 .

It is not a de Polignac number, because 312530013 - 21 = 312530011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312530011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598456 + ... + 598977.

It is an arithmetic number, because the mean of its divisors is an integer number (38916605).

Almost surely, 2312530013 is an apocalyptic number.

It is an amenable number.

312530013 is a deficient number, since it is larger than the sum of its proper divisors (154469247).

312530013 is a wasteful number, since it uses less digits than its factorization.

312530013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197468 (or 1197465 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 312530013 is about 17678.5184051153. The cubic root of 312530013 is about 678.6261282042.

Adding to 312530013 its reverse (310035213), we get a palindrome (622565226).

The spelling of 312530013 in words is "three hundred twelve million, five hundred thirty thousand, thirteen".

Divisors: 1 3 9 29 87 261 1197433 3592299 10776897 34725557 104176671 312530013