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36811129 is a prime number
BaseRepresentation
bin1000110001101…
…1000101111001
32120021012101011
42030123011321
533410424004
63352553521
7624614035
oct214330571
976235334
1036811129
1119862823
12103b28a1
13781b244
144c631c5
153372004
hex231b179

36811129 has 2 divisors, whose sum is σ = 36811130. Its totient is φ = 36811128.

The previous prime is 36811127. The next prime is 36811163. The reversal of 36811129 is 92111863.

36811129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23474025 + 13337104 = 4845^2 + 3652^2 .

It is an emirp because it is prime and its reverse (92111863) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36811129 - 21 = 36811127 is a prime.

Together with 36811127, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 36811129.

It is not a weakly prime, because it can be changed into another prime (36811123) 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, 18405564 + 18405565.

It is an arithmetic number, because the mean of its divisors is an integer number (18405565).

Almost surely, 236811129 is an apocalyptic number.

It is an amenable number.

36811129 is a deficient number, since it is larger than the sum of its proper divisors (1).

36811129 is an equidigital number, since it uses as much as digits as its factorization.

36811129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 31.

The square root of 36811129 is about 6067.2175665621. The cubic root of 36811129 is about 332.6542266040.

The spelling of 36811129 in words is "thirty-six million, eight hundred eleven thousand, one hundred twenty-nine".