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11321020096 = 264718792003
BaseRepresentation
bin10101000101100100…
…10000111011000000
31002012222111102000121
422202302100323000
5141141140120341
65111212430024
7550355040331
oct124262207300
932188442017
1011321020096
11488a469a61
12223b478314
1310b55a4c79
14795796288
15463d514d1
hex2a2c90ec0

11321020096 has 56 divisors (see below), whose sum is σ = 22966801920. Its totient is φ = 5534360832.

The previous prime is 11321020063. The next prime is 11321020099. The reversal of 11321020096 is 69002012311.

It is a self number, because there is not a number n which added to its sum of digits gives 11321020096.

It is not an unprimeable number, because it can be changed into a prime (11321020099) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5651031 + ... + 5653033.

Almost surely, 211321020096 is an apocalyptic number.

11321020096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483400960).

11321020096 is an abundant number, since it is smaller than the sum of its proper divisors (11645781824).

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

11321020096 is a wasteful number, since it uses less digits than its factorization.

11321020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 11321020096 in words is "eleven billion, three hundred twenty-one million, twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 1879 2003 3008 3758 4006 7516 8012 15032 16024 30064 32048 60128 64096 88313 94141 120256 128192 176626 188282 353252 376564 706504 753128 1413008 1506256 2826016 3012512 3763637 5652032 6025024 7527274 15054548 30109096 60218192 120436384 176890939 240872768 353781878 707563756 1415127512 2830255024 5660510048 11321020096