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10541334241 = 83212372
BaseRepresentation
bin10011101000100111…
…11111111011100001
31000012122101021002201
421310103333323201
5133042040143431
64502001213201
7522136601614
oct116423777341
930178337081
1010541334241
11451a343489
122062331201
13cbcbb54a9
1471ddd817b
1541a68d461
hex2744ffee1

10541334241 has 9 divisors (see below), whose sum is σ = 10678501011. Its totient is φ = 10405911192.

The previous prime is 10541334227. The next prime is 10541334259. The reversal of 10541334241 is 14243314501.

The square root of 10541334241 is 102671.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7961100625 + 2580233616 = 89225^2 + 50796^2 .

It is not a de Polignac number, because 10541334241 - 27 = 10541334113 is a prime.

It is a super-2 number, since 2×105413342412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10541334541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8521075 + ... + 8522311.

Almost surely, 210541334241 is an apocalyptic number.

10541334241 is the 102671-st square number.

10541334241 is the 51336-th centered octagonal number.

It is an amenable number.

10541334241 is a deficient number, since it is larger than the sum of its proper divisors (137166770).

10541334241 is an frugal number, since it uses more digits than its factorization.

10541334241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 10541334241 its reverse (14243314501), we get a palindrome (24784648742).

The spelling of 10541334241 in words is "ten billion, five hundred forty-one million, three hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 83 1237 6889 102671 1530169 8521693 127004027 10541334241