Search a number
-
+
1320042100300 = 2252721167365531
BaseRepresentation
bin10011001101011000101…
…000111111011001001100
311200012021000002122020021
4103031120220333121030
5133111421234202200
62450230255231524
7164240605501600
oct23153050773114
94605230078207
101320042100300
11469910396850
121939bb5185a4
13976304228a1
1447c672ad500
152450d70a41a
hex13358a3f64c

1320042100300 has 216 divisors, whose sum is σ = 3689352491328. Its totient is φ = 405299664000.

The previous prime is 1320042100249. The next prime is 1320042100327. The reversal of 1320042100300 is 30012400231.

It is a happy number.

It is a super-2 number, since 2×13200421003002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3428535 + ... + 3794065.

It is an arithmetic number, because the mean of its divisors is an integer number (17080335608).

Almost surely, 21320042100300 is an apocalyptic number.

1320042100300 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 1320042100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844676245664).

1320042100300 is an abundant number, since it is smaller than the sum of its proper divisors (2369310391028).

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

1320042100300 is a wasteful number, since it uses less digits than its factorization.

1320042100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365637 (or 365623 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1320042100300 its reverse (30012400231), we get a palindrome (1350054500531).

The spelling of 1320042100300 in words is "one trillion, three hundred twenty billion, forty-two million, one hundred thousand, three hundred".