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312121314 = 23217340073
BaseRepresentation
bin10010100110101…
…001011111100010
3210202022101221200
4102212221133202
51114400340224
650545502030
710506662451
oct2246513742
9722271850
10312121314
111502033aa
1288641916
134c88308b
142d64ab98
151c6055c9
hex129a97e2

312121314 has 12 divisors (see below), whose sum is σ = 676262886. Its totient is φ = 104040432.

The previous prime is 312121301. The next prime is 312121319. The reversal of 312121314 is 413121213.

It can be written as a sum of positive squares in only one way, i.e., 256544289 + 55577025 = 16017^2 + 7455^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17340073 = 312121314 / (3 + 1 + 2 + 1 + 2 + 1 + 3 + 1 + 4).

It is not an unprimeable number, because it can be changed into a prime (312121319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8670019 + ... + 8670054.

Almost surely, 2312121314 is an apocalyptic number.

312121314 is an abundant number, since it is smaller than the sum of its proper divisors (364141572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312121314 is a wasteful number, since it uses less digits than its factorization.

312121314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17340081 (or 17340078 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 312121314 is about 17666.9554253131. The cubic root of 312121314 is about 678.3301834992.

Adding to 312121314 its reverse (413121213), we get a palindrome (725242527).

The spelling of 312121314 in words is "three hundred twelve million, one hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 17340073 34680146 52020219 104040438 156060657 312121314