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11340044001 = 32111331284233
BaseRepresentation
bin10101000111110101…
…10101011011100001
31002021022021220220200
422203322311123201
5141211022402001
65113132255413
7551005532526
oct124372653341
932238256820
1011340044001
11489a1829a0
122245911569
1310b9506010
1479810914d
1546585d086
hex2a3eb56e1

11340044001 has 48 divisors (see below), whose sum is σ = 19864545792. Its totient is φ = 6139411200.

The previous prime is 11340043997. The next prime is 11340044011. The reversal of 11340044001 is 10044004311.

It is not a de Polignac number, because 11340044001 - 22 = 11340043997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11340044011) 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 47 ways as a sum of consecutive naturals, for example, 102220 + ... + 182013.

It is an arithmetic number, because the mean of its divisors is an integer number (413844704).

Almost surely, 211340044001 is an apocalyptic number.

11340044001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11340044001 is a deficient number, since it is larger than the sum of its proper divisors (8524501791).

11340044001 is a wasteful number, since it uses less digits than its factorization.

11340044001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284294 (or 284291 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11340044001 its reverse (10044004311), we get a palindrome (21384048312).

The spelling of 11340044001 in words is "eleven billion, three hundred forty million, forty-four thousand, one".

Divisors: 1 3 9 11 13 31 33 39 93 99 117 143 279 341 403 429 1023 1209 1287 3069 3627 4433 13299 39897 284233 852699 2558097 3126563 3695029 8811223 9379689 11085087 26433669 28139067 33255261 40645319 79301007 96923453 114545899 121935957 290770359 343637697 365807871 872311077 1030913091 1260004889 3780014667 11340044001