Search a number
-
+
2010313314 = 232111684073
BaseRepresentation
bin111011111010010…
…1111001001100010
312012002202111102200
41313310233021202
513104120011224
6531251554030
7100550244522
oct16764571142
95162674380
102010313314
11941851169
124812bb916
13260648709
14150dc1682
15bb74d5c9
hex77d2f262

2010313314 has 12 divisors (see below), whose sum is σ = 4355678886. Its totient is φ = 670104432.

The previous prime is 2010313307. The next prime is 2010313337. The reversal of 2010313314 is 4133130102.

It can be written as a sum of positive squares in only one way, i.e., 2001041289 + 9272025 = 44733^2 + 3045^2 .

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: 111684073 = 2010313314 / (2 + 0 + 1 + 0 + 3 + 1 + 3 + 3 + 1 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55842019 + ... + 55842054.

Almost surely, 22010313314 is an apocalyptic number.

2010313314 is an abundant number, since it is smaller than the sum of its proper divisors (2345365572).

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

2010313314 is a wasteful number, since it uses less digits than its factorization.

2010313314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111684081 (or 111684078 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2010313314 is about 44836.5176390852. The cubic root of 2010313314 is about 1262.0829982341.

Adding to 2010313314 its reverse (4133130102), we get a palindrome (6143443416).

The spelling of 2010313314 in words is "two billion, ten million, three hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 111684073 223368146 335052219 670104438 1005156657 2010313314