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2231111201281 is a prime number
BaseRepresentation
bin100000011101111000100…
…101110011001000000001
321220021212222100022102121
4200131320211303020001
5243023303431420111
64424543000044241
7320123005205554
oct40357045631001
97807788308377
102231111201281
11790233120a86
123004a2763681
1313251521b891
1479db47d269b
153d0828c5871
hex20778973201

2231111201281 has 2 divisors, whose sum is σ = 2231111201282. Its totient is φ = 2231111201280.

The previous prime is 2231111201257. The next prime is 2231111201351. The reversal of 2231111201281 is 1821021111322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1217899852225 + 1013211349056 = 1103585^2 + 1006584^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231111201281 - 221 = 2231109104129 is a prime.

It is a super-3 number, since 3×22311112012813 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2231111201381) 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, 1115555600640 + 1115555600641.

It is an arithmetic number, because the mean of its divisors is an integer number (1115555600641).

Almost surely, 22231111201281 is an apocalyptic number.

It is an amenable number.

2231111201281 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231111201281 is an equidigital number, since it uses as much as digits as its factorization.

2231111201281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 25.

The spelling of 2231111201281 in words is "two trillion, two hundred thirty-one billion, one hundred eleven million, two hundred one thousand, two hundred eighty-one".