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1000201011241 is a prime number
BaseRepresentation
bin11101000111000001010…
…00000100000000101001
310112121200201122212001211
432203200220010000221
5112341402424324431
62043252550513121
7132155625214435
oct16434050040051
93477621585054
101000201011241
11356201439693
12141a193657a1
137341ab181c3
14365a500d9c5
151b03e2202b1
hexe8e0a04029

1000201011241 has 2 divisors, whose sum is σ = 1000201011242. Its totient is φ = 1000201011240.

The previous prime is 1000201011223. The next prime is 1000201011263. The reversal of 1000201011241 is 1421101020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 744387602841 + 255813408400 = 862779^2 + 505780^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000201011241 - 27 = 1000201011113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000201011841) 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, 500100505620 + 500100505621.

It is an arithmetic number, because the mean of its divisors is an integer number (500100505621).

Almost surely, 21000201011241 is an apocalyptic number.

It is an amenable number.

1000201011241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000201011241 is an equidigital number, since it uses as much as digits as its factorization.

1000201011241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1000201011241 its reverse (1421101020001), we get a palindrome (2421302031242).

The spelling of 1000201011241 in words is "one trillion, two hundred one million, eleven thousand, two hundred forty-one".