Search a number
-
+
1320311100000 = 2535511233919
BaseRepresentation
bin10011001101101000101…
…011001001001001100000
311200012221202021020110010
4103031220223021021200
5133112444120200000
62450313105004520
7164250353115354
oct23155053111140
94605852236403
101320311100000
11469a39217252
12193a75623740
13976740882c9
1447c90cd3464
1524527143d50
hex13368ac9260

1320311100000 has 288 divisors, whose sum is σ = 4336957416960. Its totient is φ = 351679680000.

The previous prime is 1320311099999. The next prime is 1320311100047. The reversal of 1320311100000 is 11130231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336898041 + ... + 336901959.

It is an arithmetic number, because the mean of its divisors is an integer number (15058879920).

Almost surely, 21320311100000 is an apocalyptic number.

1320311100000 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 1320311100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168478708480).

1320311100000 is an abundant number, since it is smaller than the sum of its proper divisors (3016646316960).

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

1320311100000 is an equidigital number, since it uses as much as digits as its factorization.

1320311100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1320311100000 its reverse (11130231), we get a palindrome (1320322230231).

The spelling of 1320311100000 in words is "one trillion, three hundred twenty billion, three hundred eleven million, one hundred thousand".