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10041340344221 is a prime number
BaseRepresentation
bin1001001000011110111010…
…0001100011011110011101
31022112221110021101022221102
42102013232201203132131
52304004131112003341
633204532244042445
72054314526436224
oct222075641433635
938487407338842
1010041340344221
11322156593555a
1211620b4693425
1357ab81b00174
1426a00971dcbb
151262e9438c9b
hex921ee86379d

10041340344221 has 2 divisors, whose sum is σ = 10041340344222. Its totient is φ = 10041340344220.

The previous prime is 10041340344187. The next prime is 10041340344239. The reversal of 10041340344221 is 12244304314001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9706028702500 + 335311641721 = 3115450^2 + 579061^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10041340344221 is a prime.

It is a super-3 number, since 3×100413403442213 (a number of 40 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10041340344521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020670172110 + 5020670172111.

It is an arithmetic number, because the mean of its divisors is an integer number (5020670172111).

Almost surely, 210041340344221 is an apocalyptic number.

It is an amenable number.

10041340344221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041340344221 is an equidigital number, since it uses as much as digits as its factorization.

10041340344221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10041340344221 its reverse (12244304314001), we get a palindrome (22285644658222).

The spelling of 10041340344221 in words is "ten trillion, forty-one billion, three hundred forty million, three hundred forty-four thousand, two hundred twenty-one".