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2012113313 = 7241063537
BaseRepresentation
bin111011111101110…
…0110100110100001
312012020010221120022
41313323212212201
513110100111223
6531354323225
7100601452400
oct16773464641
95166127508
102012113313
11942870571
12481a29515
13260b28ac2
1415132d637
15bb9a6ac8
hex77ee69a1

2012113313 has 6 divisors (see below), whose sum is σ = 2340621666. Its totient is φ = 1724668512.

The previous prime is 2012113297. The next prime is 2012113321. The reversal of 2012113313 is 3133112102.

It can be written as a sum of positive squares in only one way, i.e., 1583084944 + 429028369 = 39788^2 + 20713^2 .

It is not a de Polignac number, because 2012113313 - 24 = 2012113297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012113291 and 2012113300.

It is not an unprimeable number, because it can be changed into a prime (2012116313) 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 5 ways as a sum of consecutive naturals, for example, 20531720 + ... + 20531817.

It is an arithmetic number, because the mean of its divisors is an integer number (390103611).

Almost surely, 22012113313 is an apocalyptic number.

It is an amenable number.

2012113313 is a deficient number, since it is larger than the sum of its proper divisors (328508353).

2012113313 is an equidigital number, since it uses as much as digits as its factorization.

2012113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41063551 (or 41063544 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2012113313 is about 44856.5860604661. The cubic root of 2012113313 is about 1262.4595681330.

Adding to 2012113313 its reverse (3133112102), we get a palindrome (5145225415).

The spelling of 2012113313 in words is "two billion, twelve million, one hundred thirteen thousand, three hundred thirteen".

Divisors: 1 7 49 41063537 287444759 2012113313