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10135241441 = 131745860821
BaseRepresentation
bin10010111000001101…
…11000001011100001
3222011100020121111122
421130012320023201
5131224110211231
64353413222025
7506106062603
oct113406701341
928140217448
1010135241441
1143310969a6
121b6a331915
13c56a1c8b0
146c20c9173
153e4bc477b
hex25c1b82e1

10135241441 has 8 divisors (see below), whose sum is σ = 11556927144. Its totient is φ = 8805277440.

The previous prime is 10135241423. The next prime is 10135241443. The reversal of 10135241441 is 14414253101.

It can be written as a sum of positive squares in 4 ways, for example, as 229219600 + 9906021841 = 15140^2 + 99529^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10135241441 - 26 = 10135241377 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 10135241441.

It is not an unprimeable number, because it can be changed into a prime (10135241443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22930190 + ... + 22930631.

It is an arithmetic number, because the mean of its divisors is an integer number (1444615893).

Almost surely, 210135241441 is an apocalyptic number.

It is an amenable number.

10135241441 is a deficient number, since it is larger than the sum of its proper divisors (1421685703).

10135241441 is a wasteful number, since it uses less digits than its factorization.

10135241441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45860851.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 10135241441 its reverse (14414253101), we get a palindrome (24549494542).

The spelling of 10135241441 in words is "ten billion, one hundred thirty-five million, two hundred forty-one thousand, four hundred forty-one".

Divisors: 1 13 17 221 45860821 596190673 779633957 10135241441