Search a number
-
+
1013443320000 = 2635431372199
BaseRepresentation
bin11101011111101011110…
…11011101100011000000
310120212212121101211122210
432233311323131203000
5113101012442220000
62053322555302120
7133135033041546
oct16576573354300
93525777354583
101013443320000
11360887374211
121444b414a940
137474b468867
143709da11d96
151b566a87350
hexebf5edd8c0

1013443320000 has 840 divisors, whose sum is σ = 3572636390400. Its totient is φ = 253186560000.

The previous prime is 1013443319983. The next prime is 1013443320007. The reversal of 1013443320000 is 233443101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013443320007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5092679901 + ... + 5092680099.

It is an arithmetic number, because the mean of its divisors is an integer number (4253138560).

Almost surely, 21013443320000 is an apocalyptic number.

1013443320000 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 1013443320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786318195200).

1013443320000 is an abundant number, since it is smaller than the sum of its proper divisors (2559193070400).

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

1013443320000 is an equidigital number, since it uses as much as digits as its factorization.

1013443320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1013443320000 its reverse (233443101), we get a palindrome (1013676763101).

The spelling of 1013443320000 in words is "one trillion, thirteen billion, four hundred forty-three million, three hundred twenty thousand".