Search a number
-
+
10004401314293 is a prime number
BaseRepresentation
bin1001000110010101010011…
…0010010101100111110101
31022102102002221002011222212
42101211110302111213311
52302403003214024133
633135543012303205
72051536251035351
oct221452462254765
938372087064885
1010004401314293
11320792a800651
121156b05911b05
13577545c5b7c9
142683038aa461
1512538653b148
hex91954c959f5

10004401314293 has 2 divisors, whose sum is σ = 10004401314294. Its totient is φ = 10004401314292.

The previous prime is 10004401314251. The next prime is 10004401314319. The reversal of 10004401314293 is 39241310440001.

10004401314293 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 can be written as a sum of positive squares in only one way, i.e., 6107259436369 + 3897141877924 = 2471287^2 + 1974118^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004401314293 - 214 = 10004401297909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10004401314203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002200657146 + 5002200657147.

It is an arithmetic number, because the mean of its divisors is an integer number (5002200657147).

Almost surely, 210004401314293 is an apocalyptic number.

It is an amenable number.

10004401314293 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004401314293 is an equidigital number, since it uses as much as digits as its factorization.

10004401314293 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 10004401314293 its reverse (39241310440001), we get a palindrome (49245711754294).

The spelling of 10004401314293 in words is "ten trillion, four billion, four hundred one million, three hundred fourteen thousand, two hundred ninety-three".