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36112081 is a prime number
BaseRepresentation
bin1000100111000…
…0011011010001
32111221200110111
42021300123101
533221041311
63330001321
7615643015
oct211603321
974850414
1036112081
11194255a5
1210116241
137634cc5
144b20545
153284d21
hex22706d1

36112081 has 2 divisors, whose sum is σ = 36112082. Its totient is φ = 36112080.

The previous prime is 36112079. The next prime is 36112099. The reversal of 36112081 is 18021163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34999056 + 1113025 = 5916^2 + 1055^2 .

It is a cyclic number.

It is not a de Polignac number, because 36112081 - 21 = 36112079 is a prime.

It is a super-2 number, since 2×361120812 = 2608164788301122, which contains 22 as substring.

Together with 36112079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (36112381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18056040 + 18056041.

It is an arithmetic number, because the mean of its divisors is an integer number (18056041).

Almost surely, 236112081 is an apocalyptic number.

It is an amenable number.

36112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

36112081 is an equidigital number, since it uses as much as digits as its factorization.

36112081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 36112081 is about 6009.3328248650. The cubic root of 36112081 is about 330.5350396147.

It can be divided in two parts, 361120 and 81, that added together give a square (361201 = 6012).

The spelling of 36112081 in words is "thirty-six million, one hundred twelve thousand, eighty-one".