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41184000101 is a prime number
BaseRepresentation
bin100110010110110000…
…011111100001100101
310221022011221222022002
4212112300133201211
51133321101000401
630530352015045
72655402140066
oct462660374145
9127264858262
1041184000101
1116514326922
127b94531485
133b6446423a
141dc993456d
151110911a6b
hex996c1f865

41184000101 has 2 divisors, whose sum is σ = 41184000102. Its totient is φ = 41184000100.

The previous prime is 41184000023. The next prime is 41184000113. The reversal of 41184000101 is 10100048114.

It is a happy number.

41184000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39026397601 + 2157602500 = 197551^2 + 46450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41184000101 is a prime.

It is a super-2 number, since 2×411840001012 (a number of 22 digits) contains 22 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 (41184000161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20592000050 + 20592000051.

It is an arithmetic number, because the mean of its divisors is an integer number (20592000051).

Almost surely, 241184000101 is an apocalyptic number.

It is an amenable number.

41184000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

41184000101 is an equidigital number, since it uses as much as digits as its factorization.

41184000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 41184000101 its reverse (10100048114), we get a palindrome (51284048215).

The spelling of 41184000101 in words is "forty-one billion, one hundred eighty-four million, one hundred one", and thus it is an aban number.