Search a number
-
+
2010313332 = 2232436312799
BaseRepresentation
bin111011111010010…
…1111001001110100
312012002202111110100
41313310233021310
513104120011312
6531251554100
7100550244546
oct16764571164
95162674410
102010313332
11941851185
124812bb930
13260648721
14150dc1696
15bb74d5dc
hex77d2f274

2010313332 has 36 divisors (see below), whose sum is σ = 5083187200. Its totient is φ = 669898512.

The previous prime is 2010313307. The next prime is 2010313337. The reversal of 2010313332 is 2333130102.

2010313332 is a `hidden beast` number, since 20 + 1 + 0 + 313 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010313337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150669 + ... + 163467.

Almost surely, 22010313332 is an apocalyptic number.

It is an amenable number.

2010313332 is an abundant number, since it is smaller than the sum of its proper divisors (3072873868).

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

2010313332 is a wasteful number, since it uses less digits than its factorization.

2010313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17172 (or 17167 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2010313332 is about 44836.5178398145. The cubic root of 2010313332 is about 1262.0830020010.

Adding to 2010313332 its reverse (2333130102), we get a palindrome (4343443434).

The spelling of 2010313332 in words is "two billion, ten million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4363 8726 12799 13089 17452 25598 26178 38397 39267 51196 52356 76794 78534 115191 153588 157068 230382 460764 55842037 111684074 167526111 223368148 335052222 502578333 670104444 1005156666 2010313332