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10041842177 is a prime number
BaseRepresentation
bin10010101101000101…
…00101101000000001
3221220211111102210122
421112202211220001
5131031202422202
64340235310025
7503563151543
oct112642455001
927824442718
1010041842177
1142933a3724
121b42bab315
13c4057a663
146b3935693
153db8c59a2
hex2568a5a01

10041842177 has 2 divisors, whose sum is σ = 10041842178. Its totient is φ = 10041842176.

The previous prime is 10041842137. The next prime is 10041842201. The reversal of 10041842177 is 77124814001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5606415376 + 4435426801 = 74876^2 + 66599^2 .

It is a cyclic number.

It is not a de Polignac number, because 10041842177 - 230 = 8968100353 is a prime.

It is not a weakly prime, because it can be changed into another prime (10041842137) 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, 5020921088 + 5020921089.

It is an arithmetic number, because the mean of its divisors is an integer number (5020921089).

Almost surely, 210041842177 is an apocalyptic number.

It is an amenable number.

10041842177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041842177 is an equidigital number, since it uses as much as digits as its factorization.

10041842177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12544, while the sum is 35.

The spelling of 10041842177 in words is "ten billion, forty-one million, eight hundred forty-two thousand, one hundred seventy-seven".