Search a number
-
+
10001004437 is a prime number
BaseRepresentation
bin10010101000001101…
…10011011110010101
3221210222122122221202
421110012303132111
5130440224120222
64332220122245
7502556064224
oct112406633625
927728578852
1010001004437
114272340726
121b31396385
13c34c7c708
146ac344cbb
153d800a892
hex2541b3795

10001004437 has 2 divisors, whose sum is σ = 10001004438. Its totient is φ = 10001004436.

The previous prime is 10001004421. The next prime is 10001004439. The reversal of 10001004437 is 73440010001.

10001004437 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., 9424332241 + 576672196 = 97079^2 + 24014^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001004437 - 24 = 10001004421 is a prime.

Together with 10001004439, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001004439) 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, 5000502218 + 5000502219.

It is an arithmetic number, because the mean of its divisors is an integer number (5000502219).

Almost surely, 210001004437 is an apocalyptic number.

It is an amenable number.

10001004437 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001004437 is an equidigital number, since it uses as much as digits as its factorization.

10001004437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 10001004437 its reverse (73440010001), we get a palindrome (83441014438).

The spelling of 10001004437 in words is "ten billion, one million, four thousand, four hundred thirty-seven".