Search a number
-
+
1321243143000 = 2335311383104537
BaseRepresentation
bin10011001110100000001…
…110100110101101011000
311200022100201001221002020
4103032200032212231120
5133121401221034000
62450545401534440
7164312431262034
oct23164016465530
94608321057066
101321243143000
1146a377344a20
121940957a4420
13977921c0841
1447d3c9d11c4
152457dd9eba0
hex133a03a6b58

1321243143000 has 256 divisors, whose sum is σ = 4508815933440. Its totient is φ = 319462016000.

The previous prime is 1321243142993. The next prime is 1321243143041. The reversal of 1321243143000 is 3413421231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12586732 + ... + 12691268.

It is an arithmetic number, because the mean of its divisors is an integer number (17612562240).

Almost surely, 21321243143000 is an apocalyptic number.

1321243143000 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 1321243143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254407966720).

1321243143000 is an abundant number, since it is smaller than the sum of its proper divisors (3187572790440).

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

1321243143000 is a wasteful number, since it uses less digits than its factorization.

1321243143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104955 (or 104941 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1321243143000 its reverse (3413421231), we get a palindrome (1324656564231).

The spelling of 1321243143000 in words is "one trillion, three hundred twenty-one billion, two hundred forty-three million, one hundred forty-three thousand".