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41123264141 is a prime number
BaseRepresentation
bin100110010011001000…
…110011011010001101
310221010221200021020002
4212103020303122031
51133210023423031
630520342134045
72654033656241
oct462310633215
9127127607202
1041123264141
1116493013013
127b78121325
133b549ba2bb
141dc1844421
15110a415ccb
hex99323368d

41123264141 has 2 divisors, whose sum is σ = 41123264142. Its totient is φ = 41123264140.

The previous prime is 41123264093. The next prime is 41123264159. The reversal of 41123264141 is 14146232114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40630868041 + 492396100 = 201571^2 + 22190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41123264141 is a prime.

It is a super-2 number, since 2×411232641412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41123264641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20561632070 + 20561632071.

It is an arithmetic number, because the mean of its divisors is an integer number (20561632071).

Almost surely, 241123264141 is an apocalyptic number.

It is an amenable number.

41123264141 is a deficient number, since it is larger than the sum of its proper divisors (1).

41123264141 is an equidigital number, since it uses as much as digits as its factorization.

41123264141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 29.

Adding to 41123264141 its reverse (14146232114), we get a palindrome (55269496255).

The spelling of 41123264141 in words is "forty-one billion, one hundred twenty-three million, two hundred sixty-four thousand, one hundred forty-one".