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36131983 is a prime number
BaseRepresentation
bin1000100111010…
…1010010001111
32111222200202121
42021311102033
533222210413
63330233411
7616055026
oct211652217
974880677
1036131983
1119439548
1210125867
137641094
144b278bd
15328ab8d
hex227548f

36131983 has 2 divisors, whose sum is σ = 36131984. Its totient is φ = 36131982.

The previous prime is 36131951. The next prime is 36131989. The reversal of 36131983 is 38913163.

36131983 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 is a cyclic number.

It is not a de Polignac number, because 36131983 - 25 = 36131951 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36131989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18065991 + 18065992.

It is an arithmetic number, because the mean of its divisors is an integer number (18065992).

Almost surely, 236131983 is an apocalyptic number.

36131983 is a deficient number, since it is larger than the sum of its proper divisors (1).

36131983 is an equidigital number, since it uses as much as digits as its factorization.

36131983 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 34.

The square root of 36131983 is about 6010.9885210338. The cubic root of 36131983 is about 330.5957496788.

The spelling of 36131983 in words is "thirty-six million, one hundred thirty-one thousand, nine hundred eighty-three".