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41137981 is a prime number
BaseRepresentation
bin1001110011101…
…1011100111101
32212102000200221
42130323130331
541012403411
64025421341
71006444543
oct234733475
985360627
1041137981
1121248635
121193a851
1386a4801
14566bd93
153929071
hex273b73d

41137981 has 2 divisors, whose sum is σ = 41137982. Its totient is φ = 41137980.

The previous prime is 41137963. The next prime is 41138003. The reversal of 41137981 is 18973114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31472100 + 9665881 = 5610^2 + 3109^2 .

It is a cyclic number.

It is not a de Polignac number, because 41137981 - 29 = 41137469 is a prime.

It is a super-3 number, since 3×411379813 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41137951) 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, 20568990 + 20568991.

It is an arithmetic number, because the mean of its divisors is an integer number (20568991).

Almost surely, 241137981 is an apocalyptic number.

41137981 is the 4057-th centered pentagonal number.

It is an amenable number.

41137981 is a deficient number, since it is larger than the sum of its proper divisors (1).

41137981 is an equidigital number, since it uses as much as digits as its factorization.

41137981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 34.

The square root of 41137981 is about 6413.8896934699. The cubic root of 41137981 is about 345.2081108031.

The spelling of 41137981 in words is "forty-one million, one hundred thirty-seven thousand, nine hundred eighty-one".