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2012122313 = 9731765437
BaseRepresentation
bin111011111101110…
…1000110011001001
312012020011101220122
41313323220303021
513110100403223
6531354433025
7100601520545
oct16773506311
95166141818
102012122313
11942877303
12481a32775
13260b2cc26
14151332a25
15bb9a95c8
hex77ee8cc9

2012122313 has 8 divisors (see below), whose sum is σ = 2039309832. Its totient is φ = 1985066496.

The previous prime is 2012122247. The next prime is 2012122331. The reversal of 2012122313 is 3132212102.

It can be written as a sum of positive squares in 4 ways, for example, as 1227664 + 2010894649 = 1108^2 + 44843^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2012122313 - 220 = 2011073737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012122291 and 2012122300.

It is not an unprimeable number, because it can be changed into a prime (2012122513) 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 7 ways as a sum of consecutive naturals, for example, 1970 + ... + 63467.

It is an arithmetic number, because the mean of its divisors is an integer number (254913729).

Almost surely, 22012122313 is an apocalyptic number.

It is an amenable number.

2012122313 is a deficient number, since it is larger than the sum of its proper divisors (27187519).

2012122313 is an equidigital number, since it uses as much as digits as its factorization.

2012122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65851.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2012122313 is about 44856.6863800705. The cubic root of 2012122313 is about 1262.4614504192.

Adding to 2012122313 its reverse (3132212102), we get a palindrome (5144334415).

The spelling of 2012122313 in words is "two billion, twelve million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 97 317 30749 65437 6347389 20743529 2012122313