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36100997 is a prime number
BaseRepresentation
bin1000100110110…
…1101110000101
32111221010020222
42021231232011
533220212442
63325434125
7615565502
oct211555605
974833228
1036100997
1119418239
121010b945
13762cc4a
144b1a4a9
1532818d2
hex226db85

36100997 has 2 divisors, whose sum is σ = 36100998. Its totient is φ = 36100996.

The previous prime is 36100973. The next prime is 36101017. The reversal of 36100997 is 79900163.

36100997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25867396 + 10233601 = 5086^2 + 3199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36100997 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36100907) 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, 18050498 + 18050499.

It is an arithmetic number, because the mean of its divisors is an integer number (18050499).

Almost surely, 236100997 is an apocalyptic number.

It is an amenable number.

36100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

36100997 is an equidigital number, since it uses as much as digits as its factorization.

36100997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 36100997 is about 6008.4105219267. The cubic root of 36100997 is about 330.5012187513.

The spelling of 36100997 in words is "thirty-six million, one hundred thousand, nine hundred ninety-seven".