Search a number
-
+
2241130547729 is a prime number
BaseRepresentation
bin100000100111001101110…
…010100100101000010001
321221020202020111211220002
4200213031302210220101
5243204313410011404
64433321113255345
7320626206225263
oct40471562445021
97836666454802
102241130547729
1179450484a297
1230241a104555
13133450c20b48
147a68534db33
153d46c305c1e
hex209cdca4a11

2241130547729 has 2 divisors, whose sum is σ = 2241130547730. Its totient is φ = 2241130547728.

The previous prime is 2241130547681. The next prime is 2241130547737. The reversal of 2241130547729 is 9277450311422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2005664926225 + 235465621504 = 1416215^2 + 485248^2 .

It is a cyclic number.

It is not a de Polignac number, because 2241130547729 - 28 = 2241130547473 is a prime.

It is a super-2 number, since 2×22411305477292 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2241130547779) 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, 1120565273864 + 1120565273865.

It is an arithmetic number, because the mean of its divisors is an integer number (1120565273865).

Almost surely, 22241130547729 is an apocalyptic number.

It is an amenable number.

2241130547729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241130547729 is an equidigital number, since it uses as much as digits as its factorization.

2241130547729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 2241130547729 in words is "two trillion, two hundred forty-one billion, one hundred thirty million, five hundred forty-seven thousand, seven hundred twenty-nine".