Search a number
-
+
42121444201 is a prime number
BaseRepresentation
bin100111001110101000…
…100011101101101001
311000201111221001211221
4213032220203231221
51142231042203301
631203400422041
73020544240214
oct471650435551
9130644831757
1042121444201
1116955503511
1281b6477921
133c8373aca5
14207823a77b
151167d87da1
hex9cea23b69

42121444201 has 2 divisors, whose sum is σ = 42121444202. Its totient is φ = 42121444200.

The previous prime is 42121444181. The next prime is 42121444213. The reversal of 42121444201 is 10244412124.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39170347225 + 2951096976 = 197915^2 + 54324^2 .

It is a cyclic number.

It is not a de Polignac number, because 42121444201 - 215 = 42121411433 is a prime.

It is not a weakly prime, because it can be changed into another prime (42121444241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21060722100 + 21060722101.

It is an arithmetic number, because the mean of its divisors is an integer number (21060722101).

Almost surely, 242121444201 is an apocalyptic number.

It is an amenable number.

42121444201 is a deficient number, since it is larger than the sum of its proper divisors (1).

42121444201 is an equidigital number, since it uses as much as digits as its factorization.

42121444201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 42121444201 its reverse (10244412124), we get a palindrome (52365856325).

The spelling of 42121444201 in words is "forty-two billion, one hundred twenty-one million, four hundred forty-four thousand, two hundred one".