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36013181 is a prime number
BaseRepresentation
bin1000100101100…
…0010001111101
32111202122210112
42021120101331
533204410211
63323515405
7615051461
oct211302175
974678715
1036013181
1119368266
1210088b65
1375cbc99
144ad64a1
15326588b
hex225847d

36013181 has 2 divisors, whose sum is σ = 36013182. Its totient is φ = 36013180.

The previous prime is 36013141. The next prime is 36013183. The reversal of 36013181 is 18131063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30415225 + 5597956 = 5515^2 + 2366^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36013181 is a prime.

It is a super-2 number, since 2×360131812 = 2593898411477522, which contains 22 as substring.

Together with 36013183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36013183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18006590 + 18006591.

It is an arithmetic number, because the mean of its divisors is an integer number (18006591).

Almost surely, 236013181 is an apocalyptic number.

It is an amenable number.

36013181 is a deficient number, since it is larger than the sum of its proper divisors (1).

36013181 is an equidigital number, since it uses as much as digits as its factorization.

36013181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 36013181 is about 6001.0983161418. The cubic root of 36013181 is about 330.2330187713.

The spelling of 36013181 in words is "thirty-six million, thirteen thousand, one hundred eighty-one".