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47108101 is a prime number
BaseRepresentation
bin1011001110110…
…1000000000101
310021122100011111
42303231000011
544024424401
64401405021
71111261255
oct263550005
9107570144
1047108101
1124656017
1213939771
1399b5021
146383965
154207e51
hex2ced005

47108101 has 2 divisors, whose sum is σ = 47108102. Its totient is φ = 47108100.

The previous prime is 47108099. The next prime is 47108111. The reversal of 47108101 is 10180174.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45887076 + 1221025 = 6774^2 + 1105^2 .

It is a cyclic number.

It is not a de Polignac number, because 47108101 - 21 = 47108099 is a prime.

Together with 47108099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47108111) 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, 23554050 + 23554051.

It is an arithmetic number, because the mean of its divisors is an integer number (23554051).

Almost surely, 247108101 is an apocalyptic number.

It is an amenable number.

47108101 is a deficient number, since it is larger than the sum of its proper divisors (1).

47108101 is an equidigital number, since it uses as much as digits as its factorization.

47108101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 47108101 is about 6863.5341479445. The cubic root of 47108101 is about 361.1590753874.

Adding to 47108101 its reverse (10180174), we get a palindrome (57288275).

The spelling of 47108101 in words is "forty-seven million, one hundred eight thousand, one hundred one".