Search a number
-
+
130322332302000 = 24353432815993001
BaseRepresentation
bin11101101000011100001000…
…010100101011101010110000
3122002102200201102002210122020
4131220130020110223222300
5114040200114032131000
61141101130345511440
736310322612106246
oct3550341024535260
9562380642083566
10130322332302000
11385854330a7563
12127494114a2580
135794460033577
1424278c5262796
15100eeb2625ba0
hex76870852bab0

130322332302000 has 640 divisors, whose sum is σ = 432324658022400. Its totient is φ = 33755904000000.

The previous prime is 130322332301989. The next prime is 130322332302023. The reversal of 130322332302000 is 203233223031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43426300500 + ... + 43426303500.

It is an arithmetic number, because the mean of its divisors is an integer number (675507278160).

Almost surely, 2130322332302000 is an apocalyptic number.

130322332302000 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 130322332302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216162329011200).

130322332302000 is an abundant number, since it is smaller than the sum of its proper divisors (302002325720400).

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

130322332302000 is a wasteful number, since it uses less digits than its factorization.

130322332302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 130322332302000 its reverse (203233223031), we get a palindrome (130525565525031).

The spelling of 130322332302000 in words is "one hundred thirty trillion, three hundred twenty-two billion, three hundred thirty-two million, three hundred two thousand".