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27197132201 is a prime number
BaseRepresentation
bin11001010101000100…
…110100110110101001
32121012102012110120122
4121111010310312221
5421144431212301
620254424533025
71651653544421
oct312504646651
977172173518
1027197132201
1110597087a68
125330321175
1327457a2745
1414600b9481
15a92a2481b
hex655134da9

27197132201 has 2 divisors, whose sum is σ = 27197132202. Its totient is φ = 27197132200.

The previous prime is 27197132197. The next prime is 27197132203. The reversal of 27197132201 is 10223179172.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18003198976 + 9193933225 = 134176^2 + 95885^2 .

It is a cyclic number.

It is not a de Polignac number, because 27197132201 - 22 = 27197132197 is a prime.

It is a super-2 number, since 2×271971322012 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 27197132203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (27197132203) 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, 13598566100 + 13598566101.

It is an arithmetic number, because the mean of its divisors is an integer number (13598566101).

Almost surely, 227197132201 is an apocalyptic number.

It is an amenable number.

27197132201 is a deficient number, since it is larger than the sum of its proper divisors (1).

27197132201 is an equidigital number, since it uses as much as digits as its factorization.

27197132201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The spelling of 27197132201 in words is "twenty-seven billion, one hundred ninety-seven million, one hundred thirty-two thousand, two hundred one".