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2241342133201 is a prime number
BaseRepresentation
bin100000100111011010011…
…001101101001111010001
321221021021222122111121001
4200213122121231033101
5243210232041230301
64433354112302001
7320634355534453
oct40473231551721
97837258574531
102241342133201
11794603225616
12302478b41901
13133485a03552
147a6a54aa2d3
153d480b9cc01
hex209da66d3d1

2241342133201 has 2 divisors, whose sum is σ = 2241342133202. Its totient is φ = 2241342133200.

The previous prime is 2241342133187. The next prime is 2241342133211. The reversal of 2241342133201 is 1023312431422.

2241342133201 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., 2182855547601 + 58486585600 = 1477449^2 + 241840^2 .

It is a cyclic number.

It is not a de Polignac number, because 2241342133201 - 227 = 2241207915473 is a prime.

It is a super-2 number, since 2×22413421332012 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2241342133201.

It is not a weakly prime, because it can be changed into another prime (2241342133211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120671066600 + 1120671066601.

It is an arithmetic number, because the mean of its divisors is an integer number (1120671066601).

Almost surely, 22241342133201 is an apocalyptic number.

It is an amenable number.

2241342133201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241342133201 is an equidigital number, since it uses as much as digits as its factorization.

2241342133201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2241342133201 its reverse (1023312431422), we get a palindrome (3264654564623).

The spelling of 2241342133201 in words is "two trillion, two hundred forty-one billion, three hundred forty-two million, one hundred thirty-three thousand, two hundred one".