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36107261 is a prime number
BaseRepresentation
bin1000100110111…
…1001111111101
32111221102211222
42021233033331
533220413021
63325523125
7615622661
oct211571775
974842758
1036107261
1119421a13
12101134a5
137632a58
144b1c8a1
1532836ab
hex226f3fd

36107261 has 2 divisors, whose sum is σ = 36107262. Its totient is φ = 36107260.

The previous prime is 36107249. The next prime is 36107273. The reversal of 36107261 is 16270163.

It is a balanced prime because it is at equal distance from previous prime (36107249) and next prime (36107273).

It can be written as a sum of positive squares in only one way, i.e., 34164025 + 1943236 = 5845^2 + 1394^2 .

It is a cyclic number.

It is not a de Polignac number, because 36107261 - 210 = 36106237 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36107261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36107221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18053630 + 18053631.

It is an arithmetic number, because the mean of its divisors is an integer number (18053631).

Almost surely, 236107261 is an apocalyptic number.

It is an amenable number.

36107261 is a deficient number, since it is larger than the sum of its proper divisors (1).

36107261 is an equidigital number, since it uses as much as digits as its factorization.

36107261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 36107261 is about 6008.9317686258. The cubic root of 36107261 is about 330.5203330887.

The spelling of 36107261 in words is "thirty-six million, one hundred seven thousand, two hundred sixty-one".