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10141144241101 is a prime number
BaseRepresentation
bin1001001110010010101101…
…0011001101001111001101
31022220111001210000121021121
42103210223103031033031
52312123030411203401
633322435524000541
72064450002530426
oct223445323151715
938814053017247
1010141144241101
11325a9205aa465
121179508830151
135873c8abb253
14270b966d464d
15128bdb338ca1
hex9392b4cd3cd

10141144241101 has 2 divisors, whose sum is σ = 10141144241102. Its totient is φ = 10141144241100.

The previous prime is 10141144241099. The next prime is 10141144241161. The reversal of 10141144241101 is 10114244114101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7508641236100 + 2632503005001 = 2740190^2 + 1622499^2 .

It is a cyclic number.

It is not a de Polignac number, because 10141144241101 - 21 = 10141144241099 is a prime.

Together with 10141144241099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10141144241161) 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, 5070572120550 + 5070572120551.

It is an arithmetic number, because the mean of its divisors is an integer number (5070572120551).

Almost surely, 210141144241101 is an apocalyptic number.

It is an amenable number.

10141144241101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10141144241101 is an equidigital number, since it uses as much as digits as its factorization.

10141144241101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 25.

Adding to 10141144241101 its reverse (10114244114101), we get a palindrome (20255388355202).

The spelling of 10141144241101 in words is "ten trillion, one hundred forty-one billion, one hundred forty-four million, two hundred forty-one thousand, one hundred one".