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41331134101 is a prime number
BaseRepresentation
bin100110011111100001…
…110000111010010101
310221200102211011012111
4212133201300322111
51134121232242401
630553125351021
72662136562145
oct463741607225
9127612734174
1041331134101
111658a390874
128015868471
133b88a9b78a
1420012b4925
15111d7c6e51
hex99f870e95

41331134101 has 2 divisors, whose sum is σ = 41331134102. Its totient is φ = 41331134100.

The previous prime is 41331134099. The next prime is 41331134147. The reversal of 41331134101 is 10143113314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22459518225 + 18871615876 = 149865^2 + 137374^2 .

It is a cyclic number.

It is not a de Polignac number, because 41331134101 - 21 = 41331134099 is a prime.

Together with 41331134099, 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 (41331134501) 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, 20665567050 + 20665567051.

It is an arithmetic number, because the mean of its divisors is an integer number (20665567051).

Almost surely, 241331134101 is an apocalyptic number.

It is an amenable number.

41331134101 is a deficient number, since it is larger than the sum of its proper divisors (1).

41331134101 is an equidigital number, since it uses as much as digits as its factorization.

41331134101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 41331134101 its reverse (10143113314), we get a palindrome (51474247415).

The spelling of 41331134101 in words is "forty-one billion, three hundred thirty-one million, one hundred thirty-four thousand, one hundred one".