Search a number
-
+
2241296618753 is a prime number
BaseRepresentation
bin100000100111010111101…
…100000101010100000001
321221021011211000010111202
4200213113230011110001
5243210133413300003
64433345404550545
7320633263631333
oct40472754052401
97837154003452
102241296618753
1179458a568975
12302465852455
13133479458a1a
147a69d41d453
153d47bbac088
hex209d7b05501

2241296618753 has 2 divisors, whose sum is σ = 2241296618754. Its totient is φ = 2241296618752.

The previous prime is 2241296618723. The next prime is 2241296618789. The reversal of 2241296618753 is 3578166921422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1662802513009 + 578494105744 = 1289497^2 + 760588^2 .

It is a cyclic number.

It is not a de Polignac number, because 2241296618753 - 226 = 2241229509889 is a prime.

It is not a weakly prime, because it can be changed into another prime (2241296618723) 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, 1120648309376 + 1120648309377.

It is an arithmetic number, because the mean of its divisors is an integer number (1120648309377).

Almost surely, 22241296618753 is an apocalyptic number.

It is an amenable number.

2241296618753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241296618753 is an equidigital number, since it uses as much as digits as its factorization.

2241296618753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8709120, while the sum is 56.

The spelling of 2241296618753 in words is "two trillion, two hundred forty-one billion, two hundred ninety-six million, six hundred eighteen thousand, seven hundred fifty-three".