Search a number
-
+
221242120441 is a prime number
BaseRepresentation
bin1100111000001100001…
…1101101100011111001
3210011001202002012122221
43032003003231203321
512111100440323231
6245345350244041
721661404665206
oct3160303554371
9704052065587
10221242120441
1185912455741
1236a65656621
1317b2b148004
14a9cb33ccad
155b4d29ad11
hex33830ed8f9

221242120441 has 2 divisors, whose sum is σ = 221242120442. Its totient is φ = 221242120440.

The previous prime is 221242120433. The next prime is 221242120457. The reversal of 221242120441 is 144021242122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220411470400 + 830650041 = 469480^2 + 28821^2 .

It is a cyclic number.

It is not a de Polignac number, because 221242120441 - 23 = 221242120433 is a prime.

It is not a weakly prime, because it can be changed into another prime (221242127441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110621060220 + 110621060221.

It is an arithmetic number, because the mean of its divisors is an integer number (110621060221).

Almost surely, 2221242120441 is an apocalyptic number.

It is an amenable number.

221242120441 is a deficient number, since it is larger than the sum of its proper divisors (1).

221242120441 is an equidigital number, since it uses as much as digits as its factorization.

221242120441 is an evil number, because the sum of its binary digits is even.

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

Adding to 221242120441 its reverse (144021242122), we get a palindrome (365263362563).

The spelling of 221242120441 in words is "two hundred twenty-one billion, two hundred forty-two million, one hundred twenty thousand, four hundred forty-one".