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41001311009 is a prime number
BaseRepresentation
bin100110001011110111…
…100101101100100001
310220211110012101222102
4212023313211230201
51132432313423014
630500304220145
72651023251611
oct461367455441
9126743171872
1041001311009
11164301978aa
127b4330a655
133b3565b399
141dad57aa41
1510ee8768de
hex98bde5b21

41001311009 has 2 divisors, whose sum is σ = 41001311010. Its totient is φ = 41001311008.

The previous prime is 41001310997. The next prime is 41001311129. The reversal of 41001311009 is 90011310014.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22239160384 + 18762150625 = 149128^2 + 136975^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41001311009 is a prime.

It is a super-2 number, since 2×410013110092 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41001311209) 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, 20500655504 + 20500655505.

It is an arithmetic number, because the mean of its divisors is an integer number (20500655505).

Almost surely, 241001311009 is an apocalyptic number.

It is an amenable number.

41001311009 is a deficient number, since it is larger than the sum of its proper divisors (1).

41001311009 is an equidigital number, since it uses as much as digits as its factorization.

41001311009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 41001311009 in words is "forty-one billion, one million, three hundred eleven thousand, nine".