Search a number
-
+
313023000349 is a prime number
BaseRepresentation
bin1001000111000011001…
…11111110111100011101
31002220222002222222202101
410203201213332330131
520112032342002344
6355444545125101
731421000413363
oct4434147767435
91086862888671
10313023000349
11110830361204
12507ba929791
1323696bc4587
1411216977633
158220b559d4
hex48e19fef1d

313023000349 has 2 divisors, whose sum is σ = 313023000350. Its totient is φ = 313023000348.

The previous prime is 313023000287. The next prime is 313023000361. The reversal of 313023000349 is 943000320313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212353229124 + 100669771225 = 460818^2 + 317285^2 .

It is a cyclic number.

It is not a de Polignac number, because 313023000349 - 227 = 312888782621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313023000449) 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, 156511500174 + 156511500175.

It is an arithmetic number, because the mean of its divisors is an integer number (156511500175).

Almost surely, 2313023000349 is an apocalyptic number.

It is an amenable number.

313023000349 is a deficient number, since it is larger than the sum of its proper divisors (1).

313023000349 is an equidigital number, since it uses as much as digits as its factorization.

313023000349 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 28.

The spelling of 313023000349 in words is "three hundred thirteen billion, twenty-three million, three hundred forty-nine", and thus it is an aban number.