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3002136349 is a prime number
BaseRepresentation
bin1011001011110000…
…1111011100011101
321202020001022212011
42302330033130131
522122021330344
61213522111221
7134252511052
oct26274173435
97666038764
103002136349
11130069a523
126b94ab511
1338ac81a54
14206a01029
15128866d34
hexb2f0f71d

3002136349 has 2 divisors, whose sum is σ = 3002136350. Its totient is φ = 3002136348.

The previous prime is 3002136331. The next prime is 3002136367. The reversal of 3002136349 is 9436312003.

It is a balanced prime because it is at equal distance from previous prime (3002136331) and next prime (3002136367).

It can be written as a sum of positive squares in only one way, i.e., 2581148025 + 420988324 = 50805^2 + 20518^2 .

It is a cyclic number.

It is not a de Polignac number, because 3002136349 - 29 = 3002135837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3002136349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3002136649) 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 as a sum of consecutive naturals, namely, 1501068174 + 1501068175.

It is an arithmetic number, because the mean of its divisors is an integer number (1501068175).

Almost surely, 23002136349 is an apocalyptic number.

It is an amenable number.

3002136349 is a deficient number, since it is larger than the sum of its proper divisors (1).

3002136349 is an equidigital number, since it uses as much as digits as its factorization.

3002136349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 3002136349 is about 54791.7543887764. The cubic root of 3002136349 is about 1442.5918389005.

The spelling of 3002136349 in words is "three billion, two million, one hundred thirty-six thousand, three hundred forty-nine".