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11321005344 = 2531111394873
BaseRepresentation
bin10101000101100100…
…01101010100100000
31002012222110122210020
422202302031110200
5141141134132334
65111212233440
7550354646325
oct124262152440
932188418706
1011321005344
11488a459970
12223b46b880
1310b559b33c
14795790b4c
15463d4be49
hex2a2c8d520

11321005344 has 96 divisors (see below), whose sum is σ = 32706483264. Its totient is φ = 3400212480.

The previous prime is 11321005337. The next prime is 11321005379. The reversal of 11321005344 is 44350012311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71892 + ... + 166764.

It is an arithmetic number, because the mean of its divisors is an integer number (340692534).

Almost surely, 211321005344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16353241632).

11321005344 is an abundant number, since it is smaller than the sum of its proper divisors (21385477920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11321005344 is a wasteful number, since it uses less digits than its factorization.

11321005344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95010 (or 95002 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 11321005344 its reverse (44350012311), we get a palindrome (55671017655).

The spelling of 11321005344 in words is "eleven billion, three hundred twenty-one million, five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 113 132 176 226 264 339 352 452 528 678 904 1056 1243 1356 1808 2486 2712 3616 3729 4972 5424 7458 9944 10848 14916 19888 29832 39776 59664 94873 119328 189746 284619 379492 569238 758984 1043603 1138476 1517968 2087206 2276952 3035936 3130809 4174412 4553904 6261618 8348824 9107808 10720649 12523236 16697648 21441298 25046472 32161947 33395296 42882596 50092944 64323894 85765192 100185888 117927139 128647788 171530384 235854278 257295576 343060768 353781417 471708556 514591152 707562834 943417112 1029182304 1415125668 1886834224 2830251336 3773668448 5660502672 11321005344