Search a number
-
+
3123013349 is a prime number
BaseRepresentation
bin1011101000100101…
…0110011011100101
322001122111111221002
42322021112123211
522343442411344
61233521003045
7140251114121
oct27211263345
98048444832
103123013349
111362950175
12731a83485
133aa024bc1
14218aa8581
1513429244e
hexba2566e5

3123013349 has 2 divisors, whose sum is σ = 3123013350. Its totient is φ = 3123013348.

The previous prime is 3123013319. The next prime is 3123013357. The reversal of 3123013349 is 9433103213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2802961249 + 320052100 = 52943^2 + 17890^2 .

It is a cyclic number.

It is not a de Polignac number, because 3123013349 - 28 = 3123013093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3123013319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561506674 + 1561506675.

It is an arithmetic number, because the mean of its divisors is an integer number (1561506675).

Almost surely, 23123013349 is an apocalyptic number.

It is an amenable number.

3123013349 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123013349 is an equidigital number, since it uses as much as digits as its factorization.

3123013349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 3123013349 is about 55883.9274657750. The cubic root of 3123013349 is about 1461.6989899501.

The spelling of 3123013349 in words is "three billion, one hundred twenty-three million, thirteen thousand, three hundred forty-nine".