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47201010097 is a prime number
BaseRepresentation
bin101011111101011001…
…100100000110110001
311111211112000202022011
4223331121210012301
51233131424310342
633403413242521
73260453652223
oct537531440661
9144745022264
1047201010097
111902181555a
129193633441
1345b2c07497
1423daad0413
151363ca9717
hexafd6641b1

47201010097 has 2 divisors, whose sum is σ = 47201010098. Its totient is φ = 47201010096.

The previous prime is 47201010071. The next prime is 47201010137. The reversal of 47201010097 is 79001010274.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38824367521 + 8376642576 = 197039^2 + 91524^2 .

It is a cyclic number.

It is not a de Polignac number, because 47201010097 - 227 = 47066792369 is a prime.

It is not a weakly prime, because it can be changed into another prime (47201010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23600505048 + 23600505049.

It is an arithmetic number, because the mean of its divisors is an integer number (23600505049).

Almost surely, 247201010097 is an apocalyptic number.

It is an amenable number.

47201010097 is a deficient number, since it is larger than the sum of its proper divisors (1).

47201010097 is an equidigital number, since it uses as much as digits as its factorization.

47201010097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 31.

The spelling of 47201010097 in words is "forty-seven billion, two hundred one million, ten thousand, ninety-seven".