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36112261 is a prime number
BaseRepresentation
bin1000100111000…
…0011110000101
32111221200201011
42021300132011
533221043021
63330002221
7615643363
oct211603605
974850634
1036112261
1119425749
1210116371
137635103
144b20633
153284de1
hex2270785

36112261 has 2 divisors, whose sum is σ = 36112262. Its totient is φ = 36112260.

The previous prime is 36112249. The next prime is 36112273. The reversal of 36112261 is 16221163.

It is a balanced prime because it is at equal distance from previous prime (36112249) and next prime (36112273).

It can be written as a sum of positive squares in only one way, i.e., 22562500 + 13549761 = 4750^2 + 3681^2 .

It is a cyclic number.

It is not a de Polignac number, because 36112261 - 211 = 36110213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36112211) 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, 18056130 + 18056131.

It is an arithmetic number, because the mean of its divisors is an integer number (18056131).

Almost surely, 236112261 is an apocalyptic number.

It is an amenable number.

36112261 is a deficient number, since it is larger than the sum of its proper divisors (1).

36112261 is an equidigital number, since it uses as much as digits as its factorization.

36112261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 22.

The square root of 36112261 is about 6009.3478015505. The cubic root of 36112261 is about 330.5355887957.

The spelling of 36112261 in words is "thirty-six million, one hundred twelve thousand, two hundred sixty-one".