Search a number
-
+
1321350240000 = 283547479821
BaseRepresentation
bin10011001110100110100…
…111001001011100000000
311200022122011121000112210
4103032212213021130000
5133122111130140000
62451004145222120
7164315201503140
oct23164647113400
94608564530483
101321350240000
1146a42184353a
12194105631940
13977ab44a74b
1447d4cd0c920
15245884a7350
hex133a69c9700

1321350240000 has 720 divisors, whose sum is σ = 5038891038720. Its totient is φ = 301025280000.

The previous prime is 1321350239999. The next prime is 1321350240017. The reversal of 1321350240000 is 420531231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1609439590 + ... + 1609440410.

It is an arithmetic number, because the mean of its divisors is an integer number (6998459776).

Almost surely, 21321350240000 is an apocalyptic number.

1321350240000 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 1321350240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519445519360).

1321350240000 is an abundant number, since it is smaller than the sum of its proper divisors (3717540798720).

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

1321350240000 is an frugal number, since it uses more digits than its factorization.

1321350240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1321350240000 its reverse (420531231), we get a palindrome (1321770771231).

The spelling of 1321350240000 in words is "one trillion, three hundred twenty-one billion, three hundred fifty million, two hundred forty thousand".