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2001122304 = 21034315149
BaseRepresentation
bin111011101000110…
…1011010000000000
312011110110112201220
41313101223100000
513044241403204
6530322555040
7100406154546
oct16721532000
95143415656
102001122304
11937643895
1247a208a80
1325b77b14c
1414daabd96
15baa351d9
hex7746b400

2001122304 has 88 divisors (see below), whose sum is σ = 5458120800. Its totient is φ = 651485184.

The previous prime is 2001122303. The next prime is 2001122327. The reversal of 2001122304 is 4032211002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001122303) 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, 124522 + ... + 139670.

It is an arithmetic number, because the mean of its divisors is an integer number (62024100).

Almost surely, 22001122304 is an apocalyptic number.

2001122304 is a gapful number since it is divisible by the number (24) 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 2001122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729060400).

2001122304 is an abundant number, since it is smaller than the sum of its proper divisors (3456998496).

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

2001122304 is a wasteful number, since it uses less digits than its factorization.

2001122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15215 (or 15197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2001122304 is about 44733.9055303692. The cubic root of 2001122304 is about 1260.1566748989.

Adding to 2001122304 its reverse (4032211002), we get a palindrome (6033333306).

The spelling of 2001122304 in words is "two billion, one million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2064 2752 3072 4128 5504 8256 11008 15149 16512 22016 30298 33024 44032 45447 60596 66048 90894 121192 132096 181788 242384 363576 484768 651407 727152 969536 1302814 1454304 1939072 1954221 2605628 2908608 3878144 3908442 5211256 5817216 7756288 7816884 10422512 11634432 15512576 15633768 20845024 23268864 31267536 41690048 46537728 62535072 83380096 125070144 166760192 250140288 333520384 500280576 667040768 1000561152 2001122304