Search a number
-
+
20114400401 is a prime number
BaseRepresentation
bin10010101110111010…
…010110010010010001
31220220210210102002122
4102232322112102101
5312143241303101
613123533224025
71311311403524
oct225672262221
956823712078
1020114400401
118592066807
123a94332015
131b872c0b94
14d8b584bbb
157cad1751b
hex4aee96491

20114400401 has 2 divisors, whose sum is σ = 20114400402. Its totient is φ = 20114400400.

The previous prime is 20114400373. The next prime is 20114400421. The reversal of 20114400401 is 10400441102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19538448400 + 575952001 = 139780^2 + 23999^2 .

It is a cyclic number.

It is not a de Polignac number, because 20114400401 - 218 = 20114138257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20114400401.

It is not a weakly prime, because it can be changed into another prime (20114400421) 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, 10057200200 + 10057200201.

It is an arithmetic number, because the mean of its divisors is an integer number (10057200201).

Almost surely, 220114400401 is an apocalyptic number.

It is an amenable number.

20114400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

20114400401 is an equidigital number, since it uses as much as digits as its factorization.

20114400401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20114400401 its reverse (10400441102), we get a palindrome (30514841503).

The spelling of 20114400401 in words is "twenty billion, one hundred fourteen million, four hundred thousand, four hundred one".