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11241355212241 = 7111573527263647
BaseRepresentation
bin1010001110010101010011…
…1110111111010111010001
31110210122220101001211000021
42203211110332333113101
52433134243413242431
635524112435223441
72240106155505250
oct243452476772721
943718811054007
1011241355212241
113644482a57170
121316797147b81
136370944c23cb
142ac127bd8797
151476305aeb11
hexa3954fbf5d1

11241355212241 has 32 divisors (see below), whose sum is σ = 14108517384192. Its totient is φ = 8701203850560.

The previous prime is 11241355212239. The next prime is 11241355212253. The reversal of 11241355212241 is 14221255314211.

It is a cyclic number.

It is not a de Polignac number, because 11241355212241 - 21 = 11241355212239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11241355212197 and 11241355212206.

It is not an unprimeable number, because it can be changed into a prime (11241355212211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42506080 + ... + 42769726.

It is an arithmetic number, because the mean of its divisors is an integer number (440891168256).

Almost surely, 211241355212241 is an apocalyptic number.

11241355212241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11241355212241 is a deficient number, since it is larger than the sum of its proper divisors (2867162171951).

11241355212241 is a wasteful number, since it uses less digits than its factorization.

11241355212241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267349.

The product of its digits is 19200, while the sum is 34.

The spelling of 11241355212241 in words is "eleven trillion, two hundred forty-one billion, three hundred fifty-five million, two hundred twelve thousand, two hundred forty-one".

Divisors: 1 7 11 77 157 1099 1727 3527 12089 24689 38797 263647 271579 553739 1845529 2900117 3876173 6091129 20300819 41392579 42637903 289748053 455318369 929882969 3187228583 6509180783 10228712659 71600988613 145991626133 1021941382931 1605907887463 11241355212241