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11240333242241 = 1723311019181621
BaseRepresentation
bin1010001110010001100000…
…0100011110111110000001
31110210120021011001100201112
42203210120010132332001
52433130200302222431
635523423211013105
72240041636062005
oct243443004367601
943716234040645
1011240333242241
113643aa9097a64
121316550a3a195
13636c6086222c
142ac06c1ac705
151475c09ddc2b
hexa391811ef81

11240333242241 has 32 divisors (see below), whose sum is σ = 12946527737856. Its totient is φ = 9695790720000.

The previous prime is 11240333242231. The next prime is 11240333242273. The reversal of 11240333242241 is 14224233304211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11240333242241 - 234 = 11223153373057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11240333242198 and 11240333242207.

It is not an unprimeable number, because it can be changed into a prime (11240333242231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3366590 + ... + 5815031.

It is an arithmetic number, because the mean of its divisors is an integer number (404578991808).

Almost surely, 211240333242241 is an apocalyptic number.

It is an amenable number.

11240333242241 is a deficient number, since it is larger than the sum of its proper divisors (1706194495615).

11240333242241 is a wasteful number, since it uses less digits than its factorization.

11240333242241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181793.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 11240333242241 its reverse (14224233304211), we get a palindrome (25464566546452).

The spelling of 11240333242241 in words is "eleven trillion, two hundred forty billion, three hundred thirty-three million, two hundred forty-two thousand, two hundred forty-one".

Divisors: 1 17 23 31 101 391 527 713 1717 2323 3131 12121 39491 53227 72013 1224221 9181621 156087557 211177283 284630251 927343721 3590013811 4838714267 6546495773 15764843257 21328905583 28747655351 111290428141 362591394911 488710140967 661196073073 11240333242241