Search a number
-
+
3099714349141 is a prime number
BaseRepresentation
bin101101000110110101010…
…111110110100001010101
3101222022220102102001101101
4231012311113312201111
5401241203333133031
610331553352030101
7436642545145204
oct55066527664125
911868812361341
103099714349141
11a95643a39093
124208b4092331
131963c00c6b67
14aa05403b23b
155596d856361
hex2d1b55f6855

3099714349141 has 2 divisors, whose sum is σ = 3099714349142. Its totient is φ = 3099714349140.

The previous prime is 3099714349031. The next prime is 3099714349183. The reversal of 3099714349141 is 1419434179903.

3099714349141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3035365372900 + 64348976241 = 1742230^2 + 253671^2 .

It is a cyclic number.

It is not a de Polignac number, because 3099714349141 - 27 = 3099714349013 is a prime.

It is a super-3 number, since 3×30997143491413 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3099714349541) 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, 1549857174570 + 1549857174571.

It is an arithmetic number, because the mean of its divisors is an integer number (1549857174571).

Almost surely, 23099714349141 is an apocalyptic number.

It is an amenable number.

3099714349141 is a deficient number, since it is larger than the sum of its proper divisors (1).

3099714349141 is an equidigital number, since it uses as much as digits as its factorization.

3099714349141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 3099714349141 in words is "three trillion, ninety-nine billion, seven hundred fourteen million, three hundred forty-nine thousand, one hundred forty-one".