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2012133349 is a prime number
BaseRepresentation
bin111011111101110…
…1011011111100101
312012020011222001101
41313323223133211
513110101231344
6531355000101
7100601564662
oct16773533745
95166158041
102012133349
11942884626
12481a39031
13260b34c65
14151336a69
15bb9ac9d4
hex77eeb7e5

2012133349 has 2 divisors, whose sum is σ = 2012133350. Its totient is φ = 2012133348.

The previous prime is 2012133313. The next prime is 2012133353. The reversal of 2012133349 is 9433312102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1220104900 + 792028449 = 34930^2 + 28143^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012133349 - 211 = 2012131301 is a prime.

It is a super-2 number, since 2×20121333492 = 8097361228315911602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012133359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006066674 + 1006066675.

It is an arithmetic number, because the mean of its divisors is an integer number (1006066675).

Almost surely, 22012133349 is an apocalyptic number.

It is an amenable number.

2012133349 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012133349 is an equidigital number, since it uses as much as digits as its factorization.

2012133349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 2012133349 is about 44856.8093938925. The cubic root of 2012133349 is about 1262.4637585126.

The spelling of 2012133349 in words is "two billion, twelve million, one hundred thirty-three thousand, three hundred forty-nine".