Search a number
-
+
312312109 = 31123229
BaseRepresentation
bin10010100111011…
…000000100101101
3210202200002200011
4102213120010231
51114422441414
650553533221
710511415634
oct2247300455
9722602604
10312312109
1115032378a
1288714211
134c91bb85
142d69a51b
151c641dc4
hex129d812d

312312109 has 6 divisors (see below), whose sum is σ = 313416590. Its totient is φ = 311211480.

The previous prime is 312312103. The next prime is 312312157. The reversal of 312312109 is 901213213.

It can be written as a sum of positive squares in only one way, i.e., 241802500 + 70509609 = 15550^2 + 8397^2 .

It is not a de Polignac number, because 312312109 - 213 = 312303917 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 312312109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312103) 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 5 ways as a sum of consecutive naturals, for example, 95107 + ... + 98335.

Almost surely, 2312312109 is an apocalyptic number.

It is an amenable number.

312312109 is a deficient number, since it is larger than the sum of its proper divisors (1104481).

312312109 is an frugal number, since it uses more digits than its factorization.

312312109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 312312109 is about 17672.3543705982. The cubic root of 312312109 is about 678.4683729780.

The spelling of 312312109 in words is "three hundred twelve million, three hundred twelve thousand, one hundred nine".

Divisors: 1 311 3229 96721 1004219 312312109