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2241133110341 is a prime number
BaseRepresentation
bin100000100111001101111…
…100010110010001000101
321221020202102100001010122
4200213031330112101011
5243204320034012331
64433321244231325
7320626240060406
oct40471574262105
97836672301118
102241133110341
1179450623a654
1230241ab3b545
1313345160a398
147a6858199ad
153d46c66017b
hex209cdf16445

2241133110341 has 2 divisors, whose sum is σ = 2241133110342. Its totient is φ = 2241133110340.

The previous prime is 2241133110319. The next prime is 2241133110373. The reversal of 2241133110341 is 1430113311422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1529043537025 + 712089573316 = 1236545^2 + 843854^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2241133110341 is a prime.

It is a super-2 number, since 2×22411331103412 (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 2241133110341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2241133110241) 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, 1120566555170 + 1120566555171.

It is an arithmetic number, because the mean of its divisors is an integer number (1120566555171).

Almost surely, 22241133110341 is an apocalyptic number.

It is an amenable number.

2241133110341 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241133110341 is an equidigital number, since it uses as much as digits as its factorization.

2241133110341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 2241133110341 its reverse (1430113311422), we get a palindrome (3671246421763).

The spelling of 2241133110341 in words is "two trillion, two hundred forty-one billion, one hundred thirty-three million, one hundred ten thousand, three hundred forty-one".