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10271361041 = 411491681349
BaseRepresentation
bin10011001000011100…
…01000100000010001
3222111211101012111022
421210032020200101
5132013432023131
64415114525225
7512351062004
oct114416104021
928454335438
1010271361041
1143a0a08637
121ba7a36815
13c78c9b936
146d61dd53b
15401b1137b
hex264388811

10271361041 has 8 divisors (see below), whose sum is σ = 10592505000. Its totient is φ = 9953580160.

The previous prime is 10271361029. The next prime is 10271361049. The reversal of 10271361041 is 14016317201.

It can be written as a sum of positive squares in 4 ways, for example, as 2116368016 + 8154993025 = 46004^2 + 90305^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10271361041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10271361041.

It is not an unprimeable number, because it can be changed into a prime (10271361049) 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 in 7 ways as a sum of consecutive naturals, for example, 834566 + ... + 846783.

It is an arithmetic number, because the mean of its divisors is an integer number (1324063125).

Almost surely, 210271361041 is an apocalyptic number.

It is an amenable number.

10271361041 is a deficient number, since it is larger than the sum of its proper divisors (321143959).

10271361041 is a wasteful number, since it uses less digits than its factorization.

10271361041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681539.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 10271361041 its reverse (14016317201), we get a palindrome (24287678242).

The spelling of 10271361041 in words is "ten billion, two hundred seventy-one million, three hundred sixty-one thousand, forty-one".

Divisors: 1 41 149 6109 1681349 68935309 250521001 10271361041