Search a number
-
+
10244400347 is a prime number
BaseRepresentation
bin10011000101001110…
…10010010011011011
3222102221122110101002
421202213102103123
5131440031302342
64412313015215
7511602652256
oct114247222333
928387573332
1010244400347
114387773675
121b9a9b450b
13c7351c16c
146d27c209d
153ee587d32
hex2629d24db

10244400347 has 2 divisors, whose sum is σ = 10244400348. Its totient is φ = 10244400346.

The previous prime is 10244400319. The next prime is 10244400349. The reversal of 10244400347 is 74300444201.

10244400347 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10244400347 - 216 = 10244334811 is a prime.

It is a super-2 number, since 2×102444003472 (a number of 21 digits) contains 22 as substring.

Together with 10244400349, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10244400349) 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, 5122200173 + 5122200174.

It is an arithmetic number, because the mean of its divisors is an integer number (5122200174).

Almost surely, 210244400347 is an apocalyptic number.

10244400347 is a deficient number, since it is larger than the sum of its proper divisors (1).

10244400347 is an equidigital number, since it uses as much as digits as its factorization.

10244400347 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 29.

Adding to 10244400347 its reverse (74300444201), we get a palindrome (84544844548).

The spelling of 10244400347 in words is "ten billion, two hundred forty-four million, four hundred thousand, three hundred forty-seven".