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1321308500 = 22534216277
BaseRepresentation
bin100111011000001…
…1001000101010100
310102002021102111212
41032300121011110
510201223333000
6335040120552
744512636241
oct11660310524
93362242455
101321308500
116189316a6
1230a606158
13180988b65
14c76aa5c8
157aeedc35
hex4ec19154

1321308500 has 48 divisors (see below), whose sum is σ = 2893053072. Its totient is φ = 527184000.

The previous prime is 1321308491. The next prime is 1321308523. The reversal of 1321308500 is 58031231.

It can be written as a sum of positive squares in 8 ways, for example, as 479960464 + 841348036 = 21908^2 + 29006^2 .

It is a congruent number.

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, 207362 + ... + 213638.

It is an arithmetic number, because the mean of its divisors is an integer number (60271939).

Almost surely, 21321308500 is an apocalyptic number.

1321308500 is a gapful number since it is divisible by the number (10) 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 1321308500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446526536).

1321308500 is an abundant number, since it is smaller than the sum of its proper divisors (1571744572).

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

1321308500 is a wasteful number, since it uses less digits than its factorization.

1321308500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717 (or 6705 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1321308500 is about 36349.8074272753. The cubic root of 1321308500 is about 1097.3236589325.

Adding to 1321308500 its reverse (58031231), we get a palindrome (1379339731).

The spelling of 1321308500 in words is "one billion, three hundred twenty-one million, three hundred eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 421 500 842 1684 2105 4210 6277 8420 10525 12554 21050 25108 31385 42100 52625 62770 105250 125540 156925 210500 313850 627700 784625 1569250 2642617 3138500 5285234 10570468 13213085 26426170 52852340 66065425 132130850 264261700 330327125 660654250 1321308500