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127501365041 is a prime number
BaseRepresentation
bin111011010111110101…
…1000110111100110001
3110012002210022102211022
41312233223012330301
54042110322140131
6134323500425225
712132413502221
oct1665753067461
9405083272738
10127501365041
114a089218766
1220863b48215
13c03c3327cb
1462576d2081
1534b380737b
hex1dafac6f31

127501365041 has 2 divisors, whose sum is σ = 127501365042. Its totient is φ = 127501365040.

The previous prime is 127501364999. The next prime is 127501365067. The reversal of 127501365041 is 140563105721.

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., 73168086016 + 54333279025 = 270496^2 + 233095^2 .

It is a cyclic number.

It is not a de Polignac number, because 127501365041 - 234 = 110321495857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127501364992 and 127501365010.

It is not a weakly prime, because it can be changed into another prime (127501325041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63750682520 + 63750682521.

It is an arithmetic number, because the mean of its divisors is an integer number (63750682521).

Almost surely, 2127501365041 is an apocalyptic number.

It is an amenable number.

127501365041 is a deficient number, since it is larger than the sum of its proper divisors (1).

127501365041 is an equidigital number, since it uses as much as digits as its factorization.

127501365041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 127501365041 in words is "one hundred twenty-seven billion, five hundred one million, three hundred sixty-five thousand, forty-one".