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11242412441 = 135931458349
BaseRepresentation
bin10100111100001100…
…11001100110011001
31002000111120201120222
422132012121212121
5141011024144231
65055323525425
7545411633441
oct123606314631
932014521528
1011242412441
11484a059957
122219089875
1310a2211570
14789173121
1545bec527b
hex29e199999

11242412441 has 8 divisors (see below), whose sum is σ = 12127638600. Its totient is φ = 10360104192.

The previous prime is 11242412429. The next prime is 11242412459. The reversal of 11242412441 is 14421424211.

11242412441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1559065225 + 9683347216 = 39485^2 + 98404^2 .

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 11242412441 - 226 = 11175303577 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 11242412441.

It is not an unprimeable number, because it can be changed into a prime (11242412471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721466 + ... + 736883.

It is an arithmetic number, because the mean of its divisors is an integer number (1515954825).

Almost surely, 211242412441 is an apocalyptic number.

It is an amenable number.

11242412441 is a deficient number, since it is larger than the sum of its proper divisors (885226159).

11242412441 is a wasteful number, since it uses less digits than its factorization.

11242412441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458955.

The product of its digits is 2048, while the sum is 26.

Adding to 11242412441 its reverse (14421424211), we get a palindrome (25663836652).

The spelling of 11242412441 in words is "eleven billion, two hundred forty-two million, four hundred twelve thousand, four hundred forty-one".

Divisors: 1 13 593 7709 1458349 18958537 864800957 11242412441