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2012414301 = 3434337237
BaseRepresentation
bin111011111110011…
…0000000101011101
312012020201020110000
41313330300011131
513110134224201
6531405004513
7100604145042
oct16774600535
95166636400
102012414301
11942a56717
12481b53739
13260c02ac1
141513ab1c9
15bba15d86
hex77f3015d

2012414301 has 20 divisors (see below), whose sum is σ = 3007490332. Its totient is φ = 1341033408.

The previous prime is 2012414263. The next prime is 2012414323. The reversal of 2012414301 is 1034142102.

It can be written as a sum of positive squares in 2 ways, for example, as 997928100 + 1014486201 = 31590^2 + 31851^2 .

It is not a de Polignac number, because 2012414301 - 26 = 2012414237 is a prime.

It is a super-3 number, since 3×20124143013 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012414351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274455 + ... + 281691.

Almost surely, 22012414301 is an apocalyptic number.

It is an amenable number.

2012414301 is a deficient number, since it is larger than the sum of its proper divisors (995076031).

2012414301 is an equidigital number, since it uses as much as digits as its factorization.

2012414301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2012414301 is about 44859.9409384364. The cubic root of 2012414301 is about 1262.5225145937.

Adding to 2012414301 its reverse (1034142102), we get a palindrome (3046556403).

The spelling of 2012414301 in words is "two billion, twelve million, four hundred fourteen thousand, three hundred one".

Divisors: 1 3 9 27 81 3433 7237 10299 21711 30897 65133 92691 195399 278073 586197 24844621 74533863 223601589 670804767 2012414301